プレプリどんどん: math.NT

arXiv math.NTの新着論文55本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-06/

1. The Riemann-Siegel remainder as a fractional summand
2. Gaps, isolated points, and the origin of the ray in the one-dimensional Dirichlet spectrum
3. Exponential generating functions for Apostol-Dedekind and related sums
4. Nonvanishing of special $L$-values of cusp forms on $\mathrm{GL}(2)$ with totally split prime power twists: without the class number hypothesis
5. On Mahler $U$-numbers under rational maps
6. Optimal large sieve for fixed order characters
7. Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families
8. Sequential exponential-motivic periods in spatially cut-off $\phi^4_2$
9. Iterated cotangent-difference integrals over totally real cyclotomic fields
10. Prescribed ideal classes and elliptic points in Ennola cubic fields
11. Cubic Progressions on Smooth Plane Curves
12. Note on fractional sum of the divisor function
13. Few small primes suffice to cover unit groups
14. Borwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$
15. Supercongruences for Domb numbers
16. Proofs of some OEIS conjectures on Wythoff sums, Fibonacci and Lucas words
17. Through the lens of the Eisenstein ideal
18. Error Term Estimates for Sets of Remainders
19. Dyadic Structure of the Two-Block Odd Partition Function and Theta-Weighted Congruences for $pod(n)$
20. An elementary proof of the Artin--Springer theorem for generalized quadratic forms over quaternion algebras
21. On the generalized Sierpi\'nski and Riesel numbers
22. One-level density of zeros of the Riemann zeta function weighted by its special values
23. The main conjecture for a Vinogradov subsystem
24. Sharp mean value estimates in the absence of translation-dilation invariance
25. Four-square polynomial triples: quadratic classification and equal-degree obstructions
26. On the factorization of $x^{d_{r}} + x^{d_{r-1}} + \cdots + x^{d_{2}} + x^{d_{1}} + p$ and a conjecture of C. Nicol
27. Ab-faithfulness of absolute Galois groups in number theory
28. Slope Stability for ${\mathbf Z}_p$-Towers of Curves
29. Amicable numbers
30. An Algebraic Proof of the Non-Modularity of Solutions to the Canonical Modular Differential Equation
31. Ideal-Smooth Sets and an Explicit Upper Bound for the Real Sum-Product Exponent
32. Automorphic commutator relations in relative geometric Langlands
33. Conflict-avoiding codes and near-primitive roots
34. A proper arithmetic surface with infinite \'etale fundamental group
35. When the BSD Real Period Remembers Elliptic Curves over $\mathbb{Q}$
36. A Variant of the Fractional Gamma-regularized Zeta Kernel
37. Tower of coverings and polylog-size coverings of rational points
38. Theta Series with Half-integral Characteristics
39. A Bogomolov property for moduli spaces of polynomials over abelian extensions
40. How close can rational points get to a manifold?
41. Counting zero-sum subspaces for the multiplicative inverse function
42. Golod--Shafarevich for arithmetic surfaces
43. Chowla Conjecture for the truncated M\"obius function over $\mathbb{F}_q[t]$
44. Degeneracy loci and unlikely intersections in abelian schemes
45. $7$-adic Galois representations of elliptic curves over the rationals via Kummer descent
46. The linear independence of $1$, $\zeta(3)$, and $\zeta(4)$
47. ETM-3D: A One-Parameter Multistable Quadratic Flow with an Explicit Absorbing Set and Intermittent Chaos
48. Infinite log-concavity of the Taylor coefficients of the Riemann xi-function
49. Uniform positivity of the tau invariant
50. Weak approximation for Campana points on projective spaces
51. Tempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASAD
52. On three conjectures of Kimberling concerning the array $\lfloor k\varphi^n\rfloor$
53. Polynomials with restricted support and maximal zeros on a finite Cartesian set
54. Generic Hodge and special Hodge--Witt polygons
55. Spreading out perverse sheaves

arXiv math.NTの新着論文28本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-05/

1. Arithmetic growth in partially commutative semigroups of endomorphisms
2. The proportion of polynomials over F_2 with positive orthogonal multiplicity
3. Shimura Reciprocity for Real Quadratic Fields
4. Counterexamples for Rational Points Near Curves
5. The Prime Wavelet Tree: Compressing the Carmichael Numbers
6. Extreme values of Dirichlet $L$-functions on the critical line with a growing prime modulus
7. A uniform degree bound for modular rank-two Nahm sums
8. The Wang--Sun Sum over Affine Derangements
9. A new upper bound for the irrationality exponent of $\zeta(2)$
10. some arithmetical aspects of the two dimensional jacobian conjecture
11. Telescopic Structure of Numerical Semigroups Generated by Unsigned Stirling Numbers of the First Kind
12. Cohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary Monodromy
13. Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves
14. Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census
15. Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves
16. The quality plane of $abc$-triples and the decomposition into gains
17. Gosper's and Ramanujan's infinite products and generalizations
18. A cubic Chabauty criterion for hyperelliptic curves
19. Eisenstein congruences in tame families and the class group of a metabelian extension
20. Sum-product patterns in the shifted primes
21. Hausdorff dimension for exactly approximable matrices
22. Explicit second moments of symplectic Siegel transforms
23. Quantitative Gowers uniformity of the primes in intervals of length $X^{5/8+\varepsilon}$
24. Exact diameter compression for four-point sumset cardinalities
25. Pappas's conjecture on ramified unitary local models
26. Resolving Erd\H{o}s-Ulam Monochromatic Union-Closed Family Conjectures
27. Sharp rational points counting near nondegenerate curves in $\mathbb{R}^n$
28. Sturmian beta-shifts do not have typical periodic optimization

arXiv math.NTの新着論文35本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-02/

1. Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic
2. PageRank on Lubotzky--Phillips--Sarnak graphs
3. Some Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k)
4. An explicit family of twists of the Carlitz module with unbounded analytic rank
5. New bounds for the integer Chebyshev constant of [0,1]
6. On a problem on Ramanujan-Sato series of level 11
7. Perfect squares in reciprocal-sum sequences and primes that are inert in quadratic fields
8. Congruence Jumping in Polynomial Divisibility Systems: Arithmetic Structure and Solution Sets
9. Multiplicative recurrence of Piatetski--Shapiro and nil-Bohr sets
10. Transcendence of dendric beta-expansions with pure discrete spectrum
11. Powers in orbits and semigroups generated by polynomials
12. Construction of parametrized families of general pseudo-bimagic and bimagic squares
13. Baire-category transfer between Engel and Pierce expansions
14. Indefinite theta vectors and generalized Nahm sums of arbitrary rank
15. The sixth moment of the Riemann zeta function
16. Translation invariant quadratic forms in $8$ variables and dense sets of primes
17. Sharp $p$-adic Extrema and Least Extremal Rows for Restricted Binomial GCDs
18. A Prime-Power Dichotomy for Nekrasov--Okounkov Hook Lengths and $t$-Core Partitions
19. Tridimensional character sums with polynomial arguments and applications
20. Uniform estimate of Lang-Weil type for counting points of schemes over finite rings
21. Quadratic distances in even dimensions over prime fields
22. Averages of Artin characters and their relation to the Davenport--Heilbronn theorem
23. Square products of factorials and a conjecture of Erd\H{o}s and Graham
24. Supersingularity and Superspeciality Verification of Abelian Surfaces
25. Infinite free pro-p products as absolute Galois groups
26. On the prime geodesic theorem
27. On The Index of Polynomial Compositions over Valued Fields
28. Direct Group Laws on Classical Genus-One Models
29. Markov chains arising in the study of random matrices over pro-finite rings
30. Transcending Algebraic Geometry
31. Mock Modularity, Resurgence, and Dual False Theta Functions
32. A Combinatorial Approach to the CUE Joint Moment Problem
33. Intersecting integer partitions: star bounds and counterexamples at every scale
34. Recurrent two-dimensional sequences over three and four letters simulating von Neumann constructions of finite ordinals
35. Complex hyperbolic surfaces whose closed geodesics are all simple

arXiv math.NTの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-01/

1. A Romanoff-type theorem for a multiset of products of powers
2. Strong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$
3. Large gaps between Romanoff numbers
4. Euclidean Triangles Associated with Diophantine $D(4)$-triples
5. Zeta elements for $p$-ordinary modular forms over imaginary quadratic fields and applications
6. Monogenity of the irreducible factors of $(k,t)$-Fibonacci and $(k,t)$-Lucas polynomials
7. On a problem of Nathanson related to strongly minimal asymptotic bases of order $h$
8. The twisted convolution identity and ghost $r$-SICs from finite quantum dilogarithms
9. The cardinality of a set containing the pairwise sums of four positive integers
10. Limit distribution of algebraic integral points on curves
11. Finite-slope p-adic L-functions for $\mathrm{GL}_{3}$
12. On the Quotient of a Pseudo-null Module
13. Asymptotic and Arithmetic Aspects of Generalized Colored Overpartitions
14. The sixth moment of a degree two $L$-function of arbitrary level
15. Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction
16. Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications
17. On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras
18. Rational quadrilaterals and tetrahedra -- the involutions of Kummer, Heegner and Regge
19. Galois groups of random polynomials of large degree
20. Semi-stable models, local heights and quadratic Chabauty for $X_0(N)^*$
21. A proof of Hirose's duality conjecture
22. Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing
23. On Greenberg's conjecture for rational elliptic curves at Eisenstein primes
24. On c-polynomial factorisations
25. The Bias Conjecture for One-Parameter, Non-Isotrivial Elliptic Curve Families
26. On the coefficients of the asymptotic of analytic torsion
27. Canonical representatives and interval independence in Ekedahl's equivalence
28. Diameter and radius of an additive-multiplicative graph
29. On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting

arXiv math.NTの新着論文39本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-30/

1. Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotients
2. Primes in arithmetic progressions and Siegel zeroes
3. p-adic Rigidity and Supercongruences at Rank Two Attractors
4. Strongly Pseudoperfect Numbers
5. A $q$-analogue of a binomial supercongruence
6. On closed-form expressions for weighted mean square of the Riemann zeta function and Dirichlet $L-$functions
7. On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks
8. Twisted Diophantine Approximation I: Asymptotic Theory
9. Twisted Diophantine Approximation II: Uniform Theory
10. Reduction of Weil-Deligne Representations
11. Farey Symbols for the Picard Group
12. A Local Approach to Monogenity with an Application to Lenny Jones' Conjecture
13. The Index of Composition of polynomials and its applications
14. Collective Contraction in the de Bruijn--Newman Heat Flow: Off-Zero Logarithmic Derivatives and Certified Barrier Refinements
15. On Boston's Unramified Conjecture for $\GL_2$ and McLeman's $(3,3)$-Conjecture
16. The Algebra of Parity-Twisted Crank Moments and a Prime-Detecting Expression
17. Truncated pretentious distances of multiplicative arithmetic functions
18. On an infinite family of cubic fields with explicit fundamental units
19. Products of two elements of Granville's random model in residue classes
20. Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture
21. A closed-form law for the Salikhov-Zeilberger-Zudilin-Bai family, and computational evidence that Bai's point is optimal
22. Weighted equidistribution of factorial prime valuations in fixed power bands
23. An infinite family of counterexamples to Goss's conjecture on L-functions of cyclotomic function fields
24. A negative answer to Erd\H{o}s Problem #786
25. Uniform Estimates for Integers with a Large Smooth Part
26. A Short Proof of a Theorem of Pan and Zhang
27. Ax-Schanuel for the Drinfeld $j$-function
28. On minima of theta and Epstein zeta functions in dimension four
29. Criterion set for diagonal forms of higher degree
30. Restricted Binomial GCDs at Primes Congruent to -1
31. Smyth's Conjecture on the Mahler Measure of non-reciprocal trinomials of height $1$
32. Congruences for the Andrews--Uncu partition function $\mathcal{EO}_u(n)$
33. Computing residual representations of abelian threefolds with imaginary multiplication
34. Improved exponent bounds for Erd\H{o}s--Selfridge curves
35. Sharp Thresholds for Distance Patterns in Random Subsets of $\mathbb Z^d$
36. Resultants, Recursive Formulas and Binet Formulas for $\textrm{SU}(N)$ Verlinde Sums
37. Square matrices with integer eigenvalues under entry permutations
38. A Memory-Magic Exchange Law in Streaming Clifford+T Compilation
39. Mordell--Lang plus Geometric Bogomolov

arXiv math.NTの新着論文67本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-29/

1. Tamagawa numbers and torsion of elliptic curves over function fields
2. Efficient Computation and Congruences for Colored Partition Functions
3. Quasimodular Forms, Partitions, and Primes in Intervals
4. Conductors and Quadratic base change
5. Factorizations in algebraic monogenic semidomains
6. Unit fractions with semiprime denominators: an elementary proof of Erd\H{o}s Problem #306
7. On the sum of odd minimal excludants over overpartitions
8. Matrix Solutions to the Diophantine equation $X^4+ Y^4=2Z^4$
9. On the Ordering and Injectivity of Lagrange Constants Associated with Certain Substitutions
10. On Fermat-type equations of signature $(r,r,p)$
11. Congruences for Overcolored Partition $k$-tuples Restricted by Parity of the Parts
12. Lower Bounds for Moments of Automorphic L-functions
13. The infinite sum of the cubes of reciprocal balancing numbers
14. Pseudo-Effectivity in the Skolem-Mahler-Lech Theorem
15. Skew cyclic codes through Drinfeld modules
16. Adelic reduction of module lattices
17. A Unified Approach to Formal Arakawa-Kaneko Type Zeta Values via Iterated Integrals
18. Escape and Non-Escape of Mass for Monogenic Binary Cubic Forms
19. More than 83.69% of the zeros of the Riemann zeta function are distinct
20. Dynamics of multiples of zeta by exponential functions
21. Stacky Heights, Entropy, and Zeta Functions of Weighted Hypersurfaces over Finite Fields
22. The Beilinson--Bloch heights of generalized Ceresa cycles
23. Prime-Detecting Identities from Dirichlet Inversion
24. On the distribution of the zeros of the Euler double zeta-function $\zeta_2(s,s)$
25. A Padovan-automatic description of a nested recurrence
26. An elementary treatment of Ramanujan's elementary continued fractions
27. Cancellation profiles of Fibonacci-Lucas zeta sums
28. $k$-Fibonacci and $k$-Lucas numbers with the H\"older inequality
29. Biases in the distribution of primes in short intervals
30. Cyclotomic factors and irreducibility of the denominators of $q$-deformed rational numbers
31. Necessary and sufficient condition for reciprocal polynomials to be monogenic
32. The two-block odd partition function
33. Rank stability of elliptic curves over $\mathbb{F}_q(t)$ in residue classes
34. Higher-order colossally abundant numbers
35. Omega bound for the Piltz divisor problem
36. Square root cancellation in the hyperbolic lattice counting problem over cocompact groups
37. An improved high-low method for the parabola
38. Sums of von Mangoldt convolutions via trace-sum averages over $U(N)$
39. Coxeter Symmetry in Hypergeometric Functions and Elliptic Integral Moments
40. Density of $\mu$-ordinary Primes for K3 Surfaces
41. Exceptional poles of archimedean Asai $L$-functions
42. Plectic Lie Algebra Action on Hilbert modular varieties
43. Structure of derived Hecke algebras with coefficients in torsion-free profinite rings
44. A new proof of two-color partition regularity of Pythagorean triples
45. Hausdorff Dimension of Weighted Singular Vectors
46. Moments of random multiplicative functions with polynomial coefficients
47. Weak Hall's conjecture, approximation gains, and continued fractions
48. Singular intersections in split semiabelian varieties
49. On a generating function of the basis of weakly holomorphic functions on an elliptic curve
50. Complete classification of $7$-adic Galois images for non-CM elliptic curves over $\Q$
51. A note on large clusters of $E_2$-numbers
52. On the largest prime factors of $p-1$ and $p+1$
53. A difference formula of $p$-adic height pairings via the Bloch-Kato logarithm map
54. Heavenly Elliptic Curves over Cubic Number Fields
55. The modal expansion of Kempner sums
56. Sharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensions
57. Very sparse return sets in arithmetic dynamics
58. A planar algebraic Zarankiewicz theorem over prime fields
59. Generic Points on the Staircase and Irregularities in Uniform Distribution
60. Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups
61. $p$-adic spectral zeta functions via the inverse Stieltjes transform
62. A quasipolynomial inverse theorem for the $\mathsf{U}^k(\mathbb{F}_p^n)$ norm in the high characteristic
63. Perfectoidness of Proper Shimura Varieties With Limpid Integral Models
64. Gauss--Manin connections extend to holonomic coadmissible D-cap-modules
65. Some applications of binary numeration systems with nonzero redundancy to the theory of locally complex functions
66. Automorphic $C^*$-algebras of reductive groups
67. A uniform lower bound for the Zhang-Kawazumi invariant and applications to the Bogomolov conjecture

arXiv math.NTの新着論文28本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-28/

1. A Congruence Conjecture of Z.-W. Sun for Reciprocal Central Binomial Sums
2. Supercharacter theory and applications to Ramanujan sums over a finite Frobenius ring
3. On the Langlands--Kottwitz--Scholze method
4. Congruence obstructions in the refined Koblitz conjecture
5. Local Weak Maass Forms and Traces of Cycle Integrals
6. Pinch's conjecture on $a$-convexity
7. Mishiba's Conjecture on the Coaction of $\infty$-adic Multiple Zeta Values
8. Counterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shifts
9. Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions
10. Counterexamples to the inhomogeneous Duffin-Schaeffer Conjecture
11. On the Moments of Least $r$-Gaps of Partitions and a Conjecture of Baruah and Talukdar
12. The derivative function of the zeta-star correspondence
13. Experiments on $3$-isogeny Selmer groups of elliptic curves with a $3$-torsion point
14. A parametric Catalan-type congruence for generalized central trinomial coefficients
15. Irreducible rootless unimodular lattices generated by vectors of norm $3$
16. Ternary Perfect Forms Over Imaginary Quadratic Field
17. Further Results on Sum-Freedom of Binary and $q$-ary Functions
18. On Conjectures of $\mu$-Invariant for Selmer Groups at $p=2$
19. Computing the Iwasawa $\mu$-Invariants for Elliptic Curves over $\mathbb{Z}_2$-Extensions
20. On the infinite sum of reciprocals of the fourth powers of balancing numbers
21. Free semigroups of power series
22. Galois groups of integer polynomials with prescribed coefficients
23. Formal groups and $(\varphi,\Gamma)$-modules
24. Galois groups of twisted reciprocal polynomials: a uniform asymptotic
25. The geometry of solutions to the general sextic
26. Cartier--Dieudonn\'e Theory of Connected Group Schemes
27. Comment on "Symmetric Pseudo-Random Matrices"
28. A Mathematical Theory of Near-Field Super-Resolution

arXiv math.NTの新着論文39本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-25/

1. Rank-two Nahm sums, modularity obstructions, and the McKay--Thompson series $T_{31A}$
2. Noncongruence cusp forms, Veech groups and enumeration
3. Effective logarithmic two-point Chowla bounds in every window
4. Permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields
5. Straight-line programs for the solutions of Pell's equation
6. Computations of Cohomology of Arithmetic Groups, Part 1
7. On the index of generalized trinomials over Valued fields
8. Computing the cohomology of Shimura curves in quasi-linear time
9. Congruence Classes of Supporting the Erd\"{o}s-Straus Conjecture II: Wild Solutions
10. A new lower bound for the Schur-Siegel-Smyth trace problem
11. Refinements of Peck's theorem on simultaneous approximation to algebraic numbers
12. Counting consecutive multiplicatively dependent triples
13. A geometric proof of Peck's theorem
14. A power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroups
15. Lie algebras for multiple Eisenstein series and multiple q-zeta values
16. The Fermat-Type Matrix Equation over $\mathrm{GL}_2(\mathbb{Z})$
17. Reducibility of $rx^m+p^e f(x)$ for Large Primes $p$
18. On murmurations
19. Arithmetic progressions in dense subsets of primitive elements of finite fields
20. Self-intersection Points of Billiard Trajectories in a Square with Small Pockets
21. On the density of $A+B$ when $B$ has few elements
22. On smooth elements in arithmetic semigroups
23. Infinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's Conjecture
24. Identities and congruences involving orthogonal polynomials and Ap\'ery-like numbers
25. A note on isomorphism types of complete discretely valued fields of mixed characteristic
26. Computing the divisor summatory function in $N^{9/28+o(1)}$
27. Sparsity of rational points on torsion level covers of Hilbert modular varieties
28. Diophantine approximation by primes and Landau--Siegel zeros
29. Lonely Runner Relations
30. The Schur multiplier of $\rm{SL}_2$, $K_2$, and Dedekind zeta-functions over $S$-integers
31. Pro-$\mathbf H_p$ density in the free group of rank two: a Frobenian criterion on the mod-$p$ torus
32. Proof of the positive trace gap conjecture
33. On the DML(1) property for regular endomorphisms of affine spaces: the $\mathbb{G}_m$-case
34. Congruence Classes in $\mathbb{F}_p^2$: Sharp Results via an Energy Approach
35. Disproof of a Conjectured Upper Bound for the Davenport Constant
36. Total rings of quotients of higher dimensional Iwasawa algebras
37. A computable wandering and tracelike vector for modular orbits in the Bergman space
38. High Rank and Multiplicity in Random and Perfect Profinite Groups
39. Frobenius lifts and point counting for smooth curves

arXiv math.NTの新着論文41本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-24/

1. A new upper bound for the irrationality exponent of zeta(3)
2. The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof
3. Galois-Orbit Structure, Ramanujan Sums, and Stable-Range Collapse for Cyclotomic Cosine Formulas
4. $A_2$-frames, negacyclic glue, and extremal strongly $6$-modular lattices
5. The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety
6. Definability and undecidability via the torsion subgroup of units
7. Completed cohomology of Hilbert modular varieties below middle degree
8. Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups
9. A proof of the Baruah--Gogoi conjecture on sums of odd and even overlined parts
10. Infinite families of pairs of real quadratic fields whose class numbers are divisible by a given integer
11. Definite integral Albert algebras: arithmetic and finite geometry
12. Modular integrals for individual modular knots
13. Construction of vector-valued adelic automorphic forms
14. Zero density estimates for $\mathrm{GL}_2$ automorphic $L$-functions
15. Gevrey localization for simple and distinct zeros in a prime-modulus Dirichlet family
16. An Approximate Version of Vu's Theorem on Economical Subbases For Non-Integer Exponents
17. Shifted log-sine integrals and multiple zeta values
18. Morse Topology, Zero Products, and Elliptic Prime Crossings
19. On some $D(u^2)$-triples and quadruples of triangular numbers
20. Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area
21. The Arithmetic of Reducible Rank 2 Hypergeometric Motives
22. An Introduction to the Lagrange and Markov Spectra through the Lens of Generalized Markov Numbers
23. Weighted bilinear identities and supercongruences for Ap\'ery-like polynomials
24. On the hyperbolic prime number theorem
25. Distinguishing Gauss sums
26. A tyro's approach to the tilted sieve: beyond the Erd\H{o}s--Rankin bound
27. Counting $k$-tuples of positive integers such that the values of several polynomials of $k$ variables are relatively prime
28. Rankin-Cohen Pairings and Hilbert Hecke Eigenform Product Identities
29. On the monomials of Poincar\'e Series of negative index
30. Trivial zeros of zeta functions of type $\mathrm{A}_r$
31. Delta Characters and Filtered Isocrystals
32. On the distribution of the minimal length of addition chains
33. A Szemer\'edi-Trotter Theorem in Arbitrary Fields
34. The intersection of local Arthur packets for even orthogonal groups and applications
35. A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
36. Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$
37. The Tate conjecture for powers of abelian fourfolds and the Hodge conjecture for powers of CM fourfolds
38. Locally analytic representations in mixed characteristic via stacks
39. Endoscopic liftings and parameters of epipelagic representations for classical groups
40. Evaluating $\mathrm {SU}(3)$ Verlinde sums using spectral graph theory
41. Computation of anisotropic singular sums from high-order derivatives of Epstein zeta functions

arXiv math.NTの新着論文45本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-23/

1. Infinitely Many Binomial Coefficients of Deficiency One
2. Carmichael numbers of the form $2^n p^m+1$ with odd exponent $m$: refinements of a theorem of Florian Luca, a general independence lemma, and a computational study
3. An Integral Representation of the Generalized Fibonacci Numbers
4. Brauer-Kuroda relations for ramified graph covers
5. The Sphere Packing Problem in Dimension 4 and the Twenty-Four-Cell Conjecture
6. Moulds, Bimoulds, and some Lie algebras
7. A density version for the sum of nine cubes of primes
8. On the Euler transform and the floor function
9. Distinct exponents in the prime factorization
10. Irreducible polynomials with restricted digits in base $b(T)$
11. On the generation of multiplicative groups by small primes
12. The density of sums of distinct divisors
13. Density of large holes among power-free lattice points
14. A surprising generalization of the M\"{o}bius function
15. S-integrality for families of ordinary K3 surfaces and algebraicity theorems
16. On the positivity of truncated pentagonal number series and some conjectures of Merca
17. Irrationality Exponents and Partial Quotient Growth in Continued Fractions
18. Abelian $p$-extensions with restricted $p$-ramification and the cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q} (\sqrt{q})$
19. The large sieve through Parseval, Large sifted sets are regular
20. The weighted large sieve through Parseval
21. Large values of the Hurwitz zeta function with rational parameter
22. Equal subset sums and close divisors
23. Boyd's conductor-11 Mahler measure conjecture: proof of the split-integral identity (C3), with an exact structural analysis of the family S_k
24. A certified continuation machine for Mahler measure identities at CM points, with twelve new proofs of conjectures of Samart
25. Peels of Equilateral Triangulated Surfaces
26. On two families of period integrals related to Catalan's constant
27. Improved rational approximations to Catalan's constant
28. Cokernels of random $p$-adic orthogonal matrices and their linearizations
29. Iterated integrals for generalized Appell functions
30. A divisibility of automorphic periods for the real quadratic base change of $\mathrm{GL}_3$
31. Stable base change from unitary groups in three variables and integral relation of automorphic periods
32. Remarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ Norm
33. The existence and uniqueness of magic-faced hypercubes, and applications to Khajuraho most-perfect magic squares, cubes, and hypercubes
34. The Odlyzko-Poonen Conjecture on Irreducibility of Random Polynomials
35. Extreme values of central $L$-derivatives and heights of Heegner points
36. A finite arithmetic form of Robin's inequality and its equivalence to the Riemann hypothesis
37. An irreducible decomposition of the Weil representation restricted to open compact subgroups
38. The unique extremal threemodular lattice of rank 26, the generalized hexagon $(2,8)$, and the tight Cayley-plane $5$-design
39. Approximating Pi (and other constants) by Radicals in the Footsteps of Rabbi Abraham Ibn Ezra and Guru RSJ Reddy
40. Ergodic Averages over Shrinking Sectors of $\mathbb Z[i]$
41. Continuous Optimization for p-adic Models
42. Zero-Run Spectra of the $(3,2)$ Raney numbers Modulo Primes
43. Eisenstein scattering and Plancherel decomposition on cuspidal Bruhat-Tits quotients
44. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
45. Support-Primitive Decomposition of Constacyclic Codes over Finite Fields: Coefficients-Based and Roots-Based Descriptions