プレプリどんどん: math.NT

arXiv math.NTの新着論文62本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-22/

1. Superpolynomially Large Support in Every Irreducible Factor of Lacunary Polynomials
2. Iwasawa theory of class field towers
3. A quadratic-residue dichotomy for two partition functions modulo 3
4. On periods of the Tribonacci sequence modulo primes
5. Monogenic Fields of Cryptographic Size
6. Bad Reduction of Genus Two Curves with complex multiplication
7. Almost Trivial Units in Group Rings
8. Zero density theorems for short intervals
9. Maximal Unramified $p$-Extensions with Prescribed Galois Groups: A Quantitative Refinement of Ozaki's Theorem
10. On a Tur\'an's theorem for small primes
11. On a Tur\'an's theorem for arithmetic progressions
12. Romanoff type theorems for polynomials over finite fields
13. Steinness of the Basic $\mathrm{GL}_n$ Local Shimura Tower in Odd Rank
14. On $\mathbb{Z}_2$-extensions of real quadratic fields with class group of $2$-rank three
15. Counting number fields with symplectic Galois group
16. The variance of the number of lattice points in narrow sectors
17. Explicit bounds for the prime number theorem
18. Wave Numbers: Discrete Sequence Algebras, Sieve Projectors, and Dynamical Geometry
19. $v$-adic Chowla-Selberg formula over function fields
20. Critical Pairs for Mixed Restricted Sumsets in Prime Fields
21. A two-step supercongruence for an Ap\'ery-like sequence
22. Large values of quadratic Hecke $L$-functions with prime-related moduli of the Gaussian field
23. Lower-order terms in mean-square formulas for the Euler--Zagier double zeta-function and regularized multiple zeta values
24. Higher Reciprocity, Cassels Pairings, and Selmer Towers for the 3/5 Congruent Number Problem
25. Refined sum formulas for finite multiple zeta values of level two
26. Two Legendre-symbol determinants of Sun and Bernoulli numbers
27. Concave transforms and volumes of adelic line bundles
28. Selmer groups of CM-twists of elliptic curves
29. Interpolation determinants and the Lebesgue--Nagell equation $a^2-D=b^p$
30. On the noninjectivity of Jordan's totient functions
31. Detecting split surfaces, RM surfaces, and minimum walks on isogeny graphs
32. Non-Archimedean Poincar\'e series and geodesics on the Bruhat-Tits tree
33. The exceptional set of a prime and a square
34. On existence of generalised Lehmer numbers modulo primes
35. Imaginary Non-CM Fields of $2$-Power Degree
36. A fully faithful p-adic Riemann--Hilbert functor for filtered coherent D-modules
37. Proofs of eighteen conjectural identities related to the modulo nine Kanade--Russell identities
38. Sharp zero estimates for trajectories of polynomial vector fields
39. Proportions of the non-trivial zeros of the Riemann zeta function
40. Selberg sieve weights and sign changes of Kloosterman sums. I. Uniform asymptotics for shifted weights
41. Selberg sieve weights and sign changes of Kloosterman sums. II. Square-free moduli with at most four prime factors
42. On the abundance of rigid meromorphic cocycles for quadratic forms in four variables
43. The lower bound of shifted primes with large prime factors
44. $D$-elliptic modular curves $X_0(N)$
45. Asymptotic Behavior of Iterated Sets of Remainders
46. Weighted Generalizations of Zagier's Phenomenon
47. The local Dold congruence for Fibonacci and Lucas sequences
48. On Normality Preserving Operations
49. Geometry around unramified CM points
50. Algebraic independence of periods of Anderson modules and their hyperderivatives
51. Exceptional maps and abelian points in backward orbits
52. A polynomial basis for the multizeta algebra in positive characteristic
53. Abelian dynamical Galois groups over global function fields
54. $\Kab$ has the Bogomolov property for canonical heights
55. The Hall-Janko Simple Group and the Icosian Leech Lattice
56. Extremal Least Common Multiples in Rows of Pascal's Triangle
57. Existence of a Hall ray in higher dimensional Lagrange spectra
58. Sum of Three Squares and Particle in a Cubic Box - Degeneracies
59. Quantum modularity in refined topological recursion
60. Fundamental Lemmas in Universal Resolution
61. From Dimension Drop to Aperiodic Order
62. Density of almost squares of horospherical orbits in non-uniform quotients of $\operatorname{SL}_2(\mathbb{R})\times\operatorname{SL}_2(\mathbb{R})$

arXiv math.NTの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-21/

1. On permutation-invariant construction of glued lattices
2. Extreme value laws for intrinsic Diophantine approximation on spheres
3. Eigenvectors of $p$-Curvature for Geometric Difference Equations
4. Galois deformation rings and modularity in the residually reducible case
5. On The Cyclicity of Algebraic Lattices
6. The large sieve for square moduli under Hooley's hypothesis $R^*$
7. Annular Frobenius Classification of p-adic Stieltjes--Schwarzian Equations
8. The integer group determinants for $\mathbb{Z}_p^n$
9. Difference of the Sum of All Odd and Even Overlined Parts of Overpartitions
10. Frobenius Numbers Associated with Primitive Pythagorean Quadruples
11. Arithmetic structure of $L_2$-norms of ${\mathrm{SL}}_2(\mathbb{Z})$ matrices
12. A Note On Certain Minimal Excludants Over Overpartitions
13. On low-discrepancy sequences and Poissonian pair correlation
14. Higher Labute-Serre duality and Lyndon words
15. Non-existence of sets with few special directions
16. Real quadratic fields and finite quantum dilogarithms I
17. $\mathbf{Bad}(\mathbf{r};\mathbf{s})$ is Hyperplane Absolute Winning
18. An equivariant version of Gabber's lemma
19. On the Injectivity of Elementary Symmetric Partitions and the Multiset Recovery Problem

arXiv math.NTの新着論文26本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-18/

1. Asymptotic counting of integers with prime factors $p_{r^a s^b}$
2. Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$
3. A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts
4. A new family of maximal curves not covered by the Hermitian curve
5. Simultaneous nonvanishing of quadratic twists via Rankin-Cohen brackets
6. Finite subgroups of outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields
7. Norms of Schneider--Teitelbaum Polynomials in $p$-adic Fourier Theory
8. Sampling and Moments of Reciprocal Quadratic Mellin Integrals
9. On a question of Ruzsa about densities of sumsets
10. A characterization of Sophie Germain primes - II
11. The Three Gates: A Rooted-Operator Approach to Weil Positivity
12. A problem of Yang and Chen on weighted representation functions
13. Low moments of automorphic random multiplicative function sums
14. Finding New Limit Points of Mahler Measure by Methods of Missing Data Restoration
15. Computational results on sums of a prime with squares or cubes
16. Rogers--Ramanujan identities from the geometry of $X^a=Y^b$
17. An ergodic approach to equations of the form $x+y=\lfloor\alpha(n)\rfloor$
18. Sumsets of Ahlfors--David regular sets
19. On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$
20. A complete classification of permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields
21. Infinite prime sumsets in structured and $U^k(\Phi)$-uniform sets
22. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
23. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
24. Logarithmic--exponential preparation in sharply o-minimal structures
25. Combinatorics of hyperplane arrangements and Witten zeta function at the origin
26. Morphism spaces on low degree hypersurfaces

arXiv math.NTの新着論文36本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-17/

1. Distinct Consecutive Products
2. Transcendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic arguments
3. Lattice points close to a smooth curve and squarefull numbers in short intervals. II
4. Effective Hecke eigenvalue equidistribution over the Atkin--Lehner subspaces
5. Only finitely many modular Jacobians are supersingular modulo a given prime
6. On two forms in many variables of different degrees
7. Zero-Density Concentration for Dirichlet Polynomials
8. Unramified Geometric Iwasawa theory of function fields
9. Surjectivity of the Enots Wolley Sequence
10. Continuous approximation to the reciprocal sum of the cubes of Fibonacci numbers
11. Exact universal normalizations for the G\'al--Koksma lemma
12. Nonvanishing of ray class $L$-functions
13. A $q$-recurrence for a finite Ap\'ery limit
14. Graded Algebras of Modular Forms and Sign Changes of Fourier Coefficients for Eta Quotients
15. Bounded intervals containing a given number of primes
16. Extreme Values of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_q[t]$
17. Cyclotomic Prime Extractors
18. Periodicity conjectures for all 2-sumfree sequences
19. Extreme values of Euler-Kronecker constants of cubic abelian fields
20. Stable Trace Formula for Newton strata of Shimura varieties
21. On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result
22. On a conjecture of Browning and Sawin on random hypersurfaces with sign coefficients
23. A uniform effective Andr\'e--Oort result
24. An Omega result for partial sums of the Riemann zeta function
25. $\Omega$-results for the logarithmic derivative of $\zeta(s)$ on vertical homogeneous progressions
26. Arithmetic Constraints and Limit Laws for Diagonal Rational Partitions
27. Finite Fourier Duality, Radial Values, and Arithmetic of a Mod Eight False Theta Quotient
28. Transcendence criteria for the minimal word of the rational base $3/2$
29. Tunnell-type criteria for variants of the congruent number problem
30. Explicit equations of Galois subfields of Hermitian function fields with respect to decomposition groups
31. The non-spherical sup-norm problem for $\mathrm{GL}(n)$ and generalized spherical functions
32. Two proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfaces
33. Generalized DCCQ: From Binary Quotients to Multinomial Simplex Geometry and Critical-Strip Coordinates
34. On the singularities and the Kodaira dimension of unitary Shimura varieties
35. A somewhat sure note on an un-Schur problem
36. Graph lattice sums and graph zeta functions for long-range interacting quantum lattice models

arXiv math.NTの新着論文38本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/

1. The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis
2. Mean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds
3. A formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$
4. Number fields as curves over $\mathbf{F}_1$
5. Simultaneously small continued fraction entropy and base $b$ entropy
6. Elementary proofs of congruences modulo 5 for overpartitions with restricted odd differences
7. Rational Points near Monofractal Curves and the Strong Oscillation Principle
8. Local Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrization
9. Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization
10. Twisted Rational Zeros and Local-Global Principles for Linear Recurrence Sequences
11. Higher Schwarzians of Elliptic Double Covers and Eisenstein--Kronecker Functions
12. The Furstenberg-S\'ark\"ozy theorem for sums of an even number of odd powers
13. An infinite family of imaginary biquadratic fields with a large class number
14. Laurent series expansions for the Barnes multiple zeta function
15. Triple divisor type functions in arithmetic progressions to prime power moduli
16. Iwasawa theory of (directe) Cayley graphs
17. The Local Ghost Theorem in the Tr\`es Ramifi\'e Case
18. Distribution of squarefree integers with double congruence conditions
19. Prime-power congruences for level-one eigenforms
20. Extreme values of quadratic Hecke $L$-functions
21. On $t$-sumfree sequences
22. Mixed moment of $GL(2)$ and $GL(3)$ $L$-functions in the level aspect
23. An additive problem in connection with some quadratic real fields with class number one
24. Powers of the Thue--Morse Series: 2-Adic Valuations and Automatic Odd Parts
25. Refined conjectures on Fitting ideals of BDP Selmer groups
26. Modular functoriality for finite groups
27. Uniform Mordell-Lang conjecture for semiabelian varieties
28. A class formula for effective Anderson motives
29. On Sarnak--Str\"{o}mbergsson conjecture
30. Improved bounds for Szpiro's conjecture
31. Even-degree Hermitian Ikeda lifts via Fourier-Jacobi descent
32. Hypothetical connection of the theta functions of Dirichlet characters with the real cyclotomic fields
33. Loop spaces, twistor $\mathbb P^1$ and tempiric parameters
34. List Decoding, Linear Hashing, and Furstenberg over $\mathbb{F}_q$
35. Block-count constrained harmonic sums: spectral expansion and block-directed Euler-Maclaurin
36. On a classical zero-sum invariant II: Disproof of a long-standing conjecture
37. Small degree isogenies between conjugate principally polarized superspecial abelian surfaces
38. A perimeter analogue of Franklin's identity and an inequality related to the parity of parts

arXiv math.NTの新着論文69本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/

1. The Strong 24-Conjecture
2. Theta functions after Weil
3. Dynamical uniform boundedness for unicritical polynomials and elliptic curves of large rank
4. Arithmetic Siegel-Weil for the spherical Hecke algebra
5. Galois representations and modularity for twisted moments of Kloosterman sums
6. Pointwise ergodic theorems along sequences of intermediate growth
7. Spherical statistics and phase transitions in high-dimensional lattices
8. Finiteness of an Isogeny Class via Equidistribution
9. Prime and Nonprime Totatives: A Sharp Construction and Exact Thresholds
10. The optimal scale in Linnik's microsquare problem for almost all integers
11. Generalized Wieferich primes and monogenic polynomials
12. Density of Vanishing of Certain Eigenspaces of Cyclotomic Class Groups
13. A Local Proof of Langlands's Second Main Lemma for Local Epsilon Factors over Nonarchimedean Local Fields
14. Modular and Shimura curves $X_0^D(N)$ embedded in $\mathbb P^1 \times \mathbb P^1$
15. Reduction of integer tiles via CRT and base-p digits
16. Patterns in the Markov numbers and their generalizations
17. Quantitative linear independence for square roots
18. Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences
19. On Decomposition of Drinfeld cusp forms of level $t$
20. Golden-ratio growth of Conway's subprime closure
21. Two-Height Approximation and Mahler's Problem on Liouville Numbers
22. A Central Limit Theorem for Coprime Pair Counts in Randomly Translated Disks
23. Surjectivity of Finite Rank-Capped Enots-Wolley Sequences
24. The Jensen--P\'{o}lya program and inequalities for arithmetic sequences
25. Cubic AGM graphs and Hessian $3$-isogenies over finite fields $\mathbb{F}_q$ of odd characteristic with $q \equiv 2 \pmod3$
26. Character sums on an oriented singer conic and explicit Ramanujan double covers
27. An explicit power-saving bound for S\'{a}rk\"{o}zy's Theorem on shifted primes, assuming GRH
28. Bloch cycles and the weak two-variable Chinburg conjecture
29. Dynamical generalizations of Chowla's conjecture on short averages
30. Elimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid Problem
31. Asymptotic Formula for Biregular Overpartitions
32. Critical Restricted Sumsets at the Boundary $\lvert A\rvert+\lvert B\rvert=p$
33. Prime Plus a Non-Square-Free Integer: An Elementary Approach
34. Transcendence of Montgomery Reduction Factor in the Ring of Integers Modulo Infinitely Large Primes
35. A proof of Sylvester's conjecture
36. The typical size of Hecke eigenvalue sums is $o(\sqrt{x})$
37. Two-term dilogarithms, mixed-base Nahm sums, and Fricke symmetry
38. Ekedahl-Oort strata meeting the supersingular locus
39. Laurent coefficients of Zagier-type zeta function {\`a} la Ishibashi and arithmetic aspects of extended Ramanujan period function
40. The Dynamical Mordell--Lang Conjecture for Relatively \'{E}tale Systems over Products of Curves
41. On the largest prime factors less than $y$ of consecutive shifted primes
42. Algorithms for $p$-rationality and for $p$-saturation of units
43. Algebraic independence of the exponential and Weierstrass $\wp$-functions
44. On the arithmetic of Tate-Shafarevich groups via Kolyvagin's conjecture
45. Optimising Selberg's method for critical zeros
46. On the number of solutions to $S$-unit equations
47. Hecke structure of quaternionic modular forms mod $p$
48. Periodicity and Period-Length Bounds for Browkin $p$-Adic Continued Fractions
49. An extension of algebraic independence of special values for non-lacunary power series
50. Long runs of integers with small prime factors and the divisor function of $n!$
51. A Construction of an Extremal Even Unimodular Lattice of Rank $88$
52. Singular automorphic products and BKM algebras
53. A septic covariant and the Hermite--Joubert problem in degree seven
54. Another proof of the $U^4(\mathbf{F}_p^n)$-inverse theorem
55. Cauchy laws for zeta logarithmic derivatives and stationary Stieltjes transforms
56. Low moments of Hecke eigenvalue sums
57. A lattice family with kissing constant $\tau(\mathcal{L}_n) \ge e^{\sqrt{n}}$
58. Zeros in The Character Table of The Wreath Product of The Symmetric Group
59. Matrices over non-commutative rings as sums of fifth and seventh powers
60. Subset-Sum Density Realization in Locally Finite Abelian Groups
61. Torsion, Betti rank, and small points in semiabelian schemes
62. Thresholds and Fluctuations for Colorful Arithmetic Progressions in Sparse Random Colorings
63. Noether's problem for $A_6$ and $A_7$
64. Growth beyond exponent $3/2$ for convexity and iterated sum sets
65. AKE principles in roughly deeply ramified henselian valued fields
66. Algebraic Structures on Sets of Partitions
67. NP-hardness of ideal lattice problems
68. Geometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractions
69. Dynamical Mordell--Lang Conjecture for Higher-Rank Radially Ramified Skew Products

arXiv math.NTの新着論文25本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-14/

1. An adelic approach to the Kudla-Millson lifts over totally real number fields
2. Local-global principles for visibility of lattice points on parameterized curves
3. On the variation of slopes over moduli stacks of Galois representations
4. Critical convergence and Hausdorff measures for generalized Flint Hills series
5. $S_h$-sets in abelian groups
6. A Generalization of S\'ark\"ozy's theorem in function fields
7. Zeros of Quasimodular Forms Defined by Iterated Sums
8. The first moment of quadratic Dirichlet $L$-functions in the even hyperelliptic ensemble
9. Tight universality of $m$-gonal forms with minimal criterion sets
10. Gauss Genus Theory in Characteristic 2
11. Projective Kernels and Replicability in Modular Function Theory
12. Classification of torsion of elliptic curves over quintic fields
13. Large fluctuations of extended Rademacher random multiplicative functions
14. Projection and fibering in groups of bounded exponent
15. Kronecker sequences beyond the torus: nearest-neighbour distances and best returns
16. Iwasawa theory of CM elliptic curves at potentially supersingular primes
17. Kolyvagin's conjecture at non-ordinary primes
18. An asymptotic formula for a cubic moment of $GL_2$ $L$-functions
19. Jacquet--Rallis transfer for GL(2)
20. Quasipolynomial density bounds for $K$-point configurations in $\mathbb{Z}^d$
21. Eta-Quotient Representations for a Three Parameter Family of Modular Functions Associated with the Rogers-Ramanujan Continued Fraction
22. Serre's problem on statistics of Brauer symbols
23. Poincar\'e duality for pro-\'etale $\mathbf{Q}_p$-local systems
24. Characteristic Classes of Adelic Vector Bundles and Applications
25. Non-archimedean Monge-Amp\`ere measures for toric metrics on subvarieties of toric varieties

arXiv math.NTの新着論文26本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-11/

1. A New Sparse Algorithm for Polynomial GCD over Integers
2. Sums of distinct divisors of factorials
3. Ordinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime Fields
4. Effective estimates for exponential sums with multiplicative coefficients
5. Rational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy Numbers
6. A $p$-adic monodromy theorem for curves
7. Moments and Non-Vanishing of Maass Form Symmetric Square L-Functions in Short Intervals
8. Log-crystalline representations and $(\varphi, \Gamma)$-modules
9. The irrationality measure of {\pi} is at most 7.101862832357
10. On the bounded-conductor finiteness conjecture in equal characteristic
11. Sharp unconditional moment bounds for products of L-functions
12. Internal congruences modulo powers of $2$ for overpartition tuples with odd parts
13. Generalized Frobenius Partitions Modulo Powers of $2$
14. Bounded asymptotic bases for linear forms
15. Chowla's non-vanishing conjecture over $\mathbb{F}_q(T)$
16. The asymptotic in Waring's problem over function fields beyond twice the degree
17. On the Mahler measure and root distribution of the $Q$-polynomial of links
18. The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square
19. F-theory on K3 surfaces and orthogonal modular forms
20. A dynamic point of view on universality for random matrices over finite local rings
21. Quantitative universality for products of i.i.d. random matrices
22. Rankin--Selberg integrals of opposite conductor--one newforms
23. Divisibility and torsion in higher Chow groups over arithmetic fields
24. Reversibility and its asymptotic counting in Picard group
25. A maximal function field of genus $17$ over $\mathbb{F}_{11^2}$
26. Cusp restrictions and Bunke--Naumann invariants with level structure

arXiv math.NTの新着論文33本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-10/

1. A proof of Hare's $\epsilon$ unfair conjecture
2. The density of long runs of non-$r$-free integers
3. Spectral Algebras of Abelian Cayley Graphs
4. Triple intersections for algebraic curves on the real torus
5. Cyclotomy of symmetric polynomials
6. Effective Euler Sums
7. The addition on totally positive integers uniquely determines the totally real number field
8. Generic Manin-Mumford
9. Regular Arithmetic Functions, Volume I. Theory, Applications, Examples
10. What Does MMLU Actually Measure? A Psychometric Audit of Difficulty Structure in Aggregate Benchmark Scores
11. Models of Elliptic Curves with Maximal 2-adic Image Subject to a Rational 2-Isogeny
12. Integer group determinants for the elementary abelian group of order 49
13. The three Kanade-Russell identities modulo nine
14. From Pythagorean Runs to Pell-Generated Cubic Runs
15. An elementary approach to Sun Kim's general theta function identities
16. Universal norms and de Rham representations
17. Unramified Motivic Alternating Multiple Mixed Values
18. Non-vanishing of symmetric square $L$-functions in the weight aspect
19. Pencils of norm form equations and a conjecture of Thomas, II
20. Diophantine approximation with primes in an arithmetic progression
21. A Counterexample to a Conjecture of Liu and Qian and a Refined Inverse Theorem for Restricted Sumsets in $\mathbb{Z}_p$
22. Inertial multiplicity bounds for two dimensional projective representations and bounds for the number of $\operatorname{PSL}_2(\mathbb{F}_q)$ and $\operatorname{PGL}_2(\mathbb{F}_q)$ number fields
23. Faltings' Isogeny Theorem via Equidistribution
24. Quasi-modularity of symmetric quasi-shuffles
25. Sharp local estimates for smooth numbers
26. On the syntomic regulator of the Hesse cubic curves and $p$-adic hypergeometric functions
27. Integer group determinants for abelian groups of order 24
28. On the Number of Hecke Eigenvalues of Same Sign on $\mathrm{GL}_n$
29. Irreducibility of truncations of the Catalan generating function
30. $B_h$-sets and perturbations in normed vector spaces
31. The algebraic geometry of 3-by-3 magic squares of squares
32. Positivity and Asymptotics for Chenevier's Orthogonal Polynomials
33. Distinguished standard modules for $\mathrm{GL}_{2m}(\mathbb{C})/\mathrm{GL}_m(\mathbb{H})$

arXiv math.NTの新着論文81本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-09/

1. Lower bounds for some value sets over finite fields: incidence geometry and Bourgain's group expansion theorem
2. On the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type Sequences
3. Primes with Restricted-Digit Differences
4. On the classification of small cyclotomic integers
5. On the class number of certain cyclotomic fields
6. A $q$-microscope for mock-theta denominator patterns
7. Infinite-order $p$-adic differential equations for Hurwitz-type Euler zeta functions: Higher-dimensional extensions and uniqueness of bounded solutions
8. The entropy of coclass one and of SmallGroup(729,45)
9. Central non-vanishing of Dirichlet $L$-functions
10. From dimension four to dimension five in the Tate conjecture for abelian varieties over finite fields
11. Lattice point visibility along polynomials has density one
12. Normal Behavior and Periodic Points of a Pseudo-Aliquot Map Associated with the Dedekind Psi Function
13. Mean Values and Normal Order of a Successive-Iterate Ratio of Dedekind's Arithmetic Function
14. Bounds on Whittaker Functions for $\mathrm{GL}(n)$
15. Fields of definition of $p$-torsion points of elliptic curves and their ramification
16. Methods to Find Integer Points on the Elliptic Curve of Factorizable Polynomial Equation
17. Optimization of Quadratic Sieve Algorithm Implementation for Large Integer Factorization
18. Unsupported Cyclotomic Divisors in Three-Prime Integer Tilings
19. Generalized Zeckendorf expansions of the 2nd order
20. A Fricke transformation for cubic-residue eta products of level 13
21. High dimensional Riemann--Roch spaces in linear spaces with small squares
22. Three Irrationality Results for the Dilogarithm: Rhin--Viola and Viola--Zudilin Constructions at $-1/4$, $1/5$, and $-1/3$
23. Maximising the number of solutions to linear equations
24. $p$-adic properties of division polynomials and algebraic sigma functions
25. Upper bounds for arithmetic functions over polynomial values via Chebotarev--Sato--Tate distributions
26. The method of telescoping continued fractions
27. Counting Representations of Quadratic Forms
28. A Proof of Bala's Congruence Conjectures for A158690
29. Parameterized partial theta identities and a unified $q$-difference proof
30. The Normal Form of Smith's Matrices
31. On a problem of Nathanson related to minimal asymptotic bases and maximal asymptotic nonbases
32. Prime pairs along rays of prime indices
33. On Dynamical Mordell-Lang Conjecture for Split Map
34. Asymptotically optimal packings of arithmetic progressions with prime differences
35. $\vec M$ Versions of Andrews-Gordon Identities Revisited
36. Zeros of Ramanujan-Like Polynomials
37. Residual finiteness and cuspidal cohomology of Picard modular surfaces
38. Sharp Diameter Bounds for Nonnegative Cyclotomic Multiples
39. A pencil of quadratic forms in nine variables with no member of Witt index four
40. The spectrum of $(\xi\alpha^n)$ can be uncountable
41. Equidistribution of small points over finitely generated fields
42. The Artin-Hasse $p$-section: weighted convolutions and $p$-adic recovery
43. Simple critical zeros and distinct zeros of the Riemann zeta-function in short intervals
44. The Fibonacci numbers are not an additive uniqueness set for multiplicative functions
45. Relative $(\varphi, \Gamma)$-modules and $p$-adic differential equations
46. A Lang-Trotter Problem for Non-Geometric Quadratic Inductions
47. Replication Descent and $J$-Finality of Replicable Functions
48. Todd's relation conjecture and binary relations for multiple zeta values in positive characteristic
49. Pascal tiling and congruences modulo N in Pascal's triangle
50. Moments of the Crank Statistic for $t$-Core Partitions and Overpartitions
51. Prescribed Abscissae on Congruent-Number Curves over Simplest Cubic Fields
52. Second derivatives of $p$-adic $L$-functions and the Shafarevich--Tate group of rank-two CM elliptic curves
53. Counting Survivor Sets: Exponential Equivalence with Prime-Admissible Sets
54. Symmetric power L-functions of a weighted hyper-Kloosterman family
55. A geometric Jacquet--Langlands correspondence for Shimura varieties
56. Four explicit continued fractions for values of the Lerch transcendent and the Hurwitz zeta function
57. A Problem on the largest divisor $d$ of $N$ with $d\leq \sqrt{N}$
58. Reduction Modulo Binary Polynomials with Logarithmic Feedback Depth
59. On a problem of Erd\H{o}s and Nathanson related to minimal asymptotic bases of order $h$
60. On the cardinality of the exception set in Littlewood's discrete conjecture
61. Generalizing a Pair of Diophantine Equations
62. The modulo 9 Kanade--Russell identities and their Nahm-sum duals
63. Rational functions over finite fields with Galois closure of genus zero
64. Sharp order-preserving integer models for short additive equalities
65. The Archimedean place is a blurred interval at infinity
66. Coarse moduli of motivic augmentations
67. Partial Results on Hankel Determinants and the Corresponding J-Fractions of a Sequence Related to Bernoulli Numbers
68. Polynomial point counts for moduli spaces of curves with marked points
69. The Constant in Thomae-Type Formulas for Eight Points on the Complex Projective Line
70. Microlocalization and singular supports of constructible \'etale sheaves
71. A Uniform Product-Difference Theorem for Dense Subsets of $\mathbb Z^2$
72. External Difference Families Arising from Two or Three Cyclotomic Classes
73. The exponent of harmonic LCM avoidance
74. Solutions to 6 problems in recurrence and Van der Corput sets
75. Logarithmic $A_{\mathrm{inf}}$-cohomology, Part II
76. Proofs of Some Kanade--Russell Mod 12 Conjectures
77. Majorization and additive tuples in $\mathbb{Z}_2^n$
78. A Perfectoid Pro-\'Etale Lie Torsor Can Have a Non-Surjective Sen Map
79. On the $a$-number of Fermat type function fields and some of their subfields
80. The range and omitted values of a certain sequence involving the partition function
81. The sharp constant in the Mashreghi-Ransford inequality