プレプリどんどん: math.NT

arXiv math.NTの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-02/

1. Supersingular isogeny graphs and Hecke modules with level structure
2. The Lang-Trotter conjecture on average for genus-$2$ curves with $S_3$ reduced automorphism group
3. One-loop $p$-adic string theory and the N\'eron local height function
4. Solutions of Calabi-Yau Differential Operators as Truncated p-adic Series and Efficient Computation of Zeta Functions
5. Spectral-Dimension Obstructions for Operators with Superlinear Counting Laws
6. Hausdorff Dimension of Growth Rate Level Sets in $\theta$-expansions
7. Dynkin diagrams, generalized Nahm sums and 2d CFTs
8. Cappell-Shaneson knot pairs with the same Alexander polynomial
9. Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces

arXiv math.NTの新着論文20本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-01/

1. Truncated Plethystic Exponentials Preserve Power Sum Constraints
2. On Eisenstein series identities and new identities connecting Ramanujan-G\"ollnitz-Gordon continued fraction and Ramanujan's continued fraction of order four
3. On non-Archimedean and motivic distributions defined by kernels
4. Congruences and ramified primes in fields of coefficients of newforms
5. $D(-1)$-triples of triangular numbers
6. Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields
7. From Orientations to $\ell$-adic Period Vectors
8. Weber modular curves and modular isogenies
9. $p$-adic Character Neural Network
10. ABC implies that Ramanujan's tau function misses almost all primes
11. Various conjectural series identities
12. A counterexample to a conjecture of S\'ark\"ozy on sums and products modulo a prime
13. Some geometric series for Euler's constant
14. Composition of random functions and word reconstruction
15. Hypergeometric Bernoulli Polynomials Defined on Simplicial $d$-Polytopic Numbers
16. Uniform optimal-order Wasserstein quantisation
17. A Finite-State Proof of the Well-Definedness of a Perturbed Hofstadter Sequence
18. Reciprocity of Skew Hall-Littlewood-Schubert Series
19. Non-Archimedean Analogue of Chase's Lemma
20. Short proofs in combinatorics and number theory

arXiv math.NTの新着論文32本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-31/

1. A categorical p-adic Langlands correspondence for GL_2(Q_p)
2. Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
3. Asymptotic Universal Koszulity in Galois Cohomology
4. Improved Bounds for 3-Progressions
5. A note on the multiple zeta functions and their variants at identical arguments
6. NP-hardness of SVP in Euclidean Space
7. The congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density
8. Monodromy groups of polynomials of composition length 2
9. Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$-expansions
10. Galois representation of the product of two Drinfeld modules of generic characteristic
11. The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
12. Some vanishing results for the rational completed cohomology of Shimura varieties
13. On the locally analytic completed cohomology of modular curves
14. Products of consecutive integers with unusual anatomy
15. Zeta Zeros in a Narrow Vertical Box
16. Plectic Heegner classes
17. Special geodesics and atypical intersections
18. Farey graphs and geodesic expansions of complex continued fractions
19. Complete Walsh spectra for a permutation-inverse family of Boolean functions
20. The conjecture of Colmez and reciprocity laws for modular forms
21. One continuum class of fractal functions defined in terms of $Q^*_s$-representation
22. Numeral systems with non-zero redundancy and their applications in the theory of locally complex functions
23. On the satisfaction frequency of spectral characterization conditions
24. Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
25. A short proof of Erd\H{o}s's $B+C$ conjecture
26. English translation of Frobenius' and Stickelberger's "On the theory of elliptic functions"
27. Root lattices over totally real fields
28. Motivic counting of curves on split quintic del Pezzo surfaces
29. On Generalizations of Maiorana-McFarland and $\mathcal{PS}_{ap}$ Functions
30. Zeros in the character table of the symmetric group
31. Optimal bounds for an Erd\H{o}s problem on matching integers to distinct multiples
32. Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell

arXiv math.NTの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-30/

1. On bilinear sums with modular square roots and applications III
2. On nonconvex constellations among primes I
3. Examples of Quadratic Polynomials over $\mathbb{Q}$ with Surjective Arboreal Galois Representations
4. Surviving Eratosthenes sieve I: quadratic density and Legendre's conjecture
5. On a M\"obius double sum
6. Uniform Diophantine approximation with restrictions via total density of collections of subspaces
7. Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups
8. Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus
9. A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme
10. Proof of Hong's conjecture on divisibility among power GCD and power LCM matrices on gcd-closed sets
11. Arithmetic sums and products of infinite multiple zeta-star values
12. Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developments
13. Resonances on geometrically finite graphs
14. Integral Means Spectrum for the Random Riemann Zeta Function

arXiv math.NTの新着論文21本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-27/

1. On $\frac{1}{n!}$ in Cantor sets
2. 2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
3. On the Density of Coprime Reductions of Elliptic Curves
4. Igusa Stacks and the Cohomology of Shimura Varieties II
5. Arithmetic exceptionality of Latt\`{e}s maps
6. Weak approximations, Diophantine exponents and two-dimensional lattices
7. Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH)
8. Stern polynomials and algebraic independence
9. The Prime times of twisted Diophantine approximation
10. Second order Recurrences, quadratic number fields and cyclic codes
11. Computing the local $2$-component of a non-selfdual automorphic representation of $\mathrm{GL}_3$
12. Poly-Bernoulli numbers from shifted log-sine integrals
13. A note on gamma factors for pairs
14. An integrality phenomenon
15. Murmurations in the depth aspect
16. A conditional bound for the least prime in an arithmetic progression
17. Iterated beta integrals
18. Quadratic Residue Codes over $\mathbb{Z}_{121}$
19. Linear theories of global fields with absolute values
20. Local coherence for representations of amalgams
21. Exceptional loci in algebraic surfaces

arXiv math.NTの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-26/

1. Period integrals of distinguished polarised strongly tempered hyperspherical varieties
2. Notes on Cyclotomic Function Fields with Quadratic Modulus
3. On Selmer complexes, Stark systems and derived $p$-adic heights
4. The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer
5. Kobayashi length bounds on bordered surfaces and generalized integral points on abelian varieties
6. Class number zeta function of imaginary quadratic fields
7. On the Quartic Invariant of Odd Degree Binary Forms
8. Additive Rigidity for Images of Rational Points on Abelian Varieties
9. Legendre compressions and an integrality conjecture for the H\"ormander--Bernhardsson extremal function
10. On Maximal Values of Gronwall Numbers for Integers with Given Greatest Prime Factor and Remainder in Modified Mertens Formula
11. On the paucity of lattice triangles
12. Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties
13. A central limit theorem for connected components of random coverings of manifolds with nilpotent fundamental groups

arXiv math.NTの新着論文21本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-25/

1. Anticyclotomic Iwasawa main conjectures for modular forms
2. Density of Visible Lattice Points on Hyperplanes and their Intersections
3. Admissible pairs and $p$-adic Hodge structures III: Variation and unlikely intersection
4. On the series expansion of k-free Dirichlet series and its analytical continuation
5. Murmurations, Periods, and Local Factors
6. On generalized Thabit numbers $(p+1)p^\mathfrak{a}-1$ in the $k$-Lucas sequence
7. $p$-adic multiple zeta values of integer indices
8. The second minimum of Barnes-Wall lattices
9. Symmetric measures of pseudorandomness for binary sequences
10. Short Exponential Sums and Ternary Correlations of Multiplicative Functions
11. Branches of Markoff $m$-triples with two $k$-Fibonacci components
12. Counting points in thin sets: A survey
13. Bohr's Last Problem Under the Entirety Hypothesis: A Survey with Initial Reductions
14. Uniform boundedness of small points on abelian varieties over function fields
15. Mahler series with multiplicative coefficient sequences
16. Partition regularity in imaginary quadratic rings of integers
17. Picard rank jumps for families of K3 surfaces in positive characteristic
18. Construction of graph coverings with prescribed Iwasawa invariants
19. Cohomological descent for obstructions to local-global principle
20. Eulerian polynomials and the alternating sum of excedances
21. Exponential motives on the affine Grassmannian

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/2026-03-24/

1. Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures
2. Upper and lower estimates for integer complexity
3. A refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian variety
4. Graham conjecture on small sets in abelian groups
5. Ties in function field prime race
6. Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions
7. An analytic approach to $P$-adic diffeomorphism group and Teichm\"{u}ller theory
8. Integral Representations for Multiple Ap\'ery-Like Series
9. Effective count of integer points on ternary affine quadrics and effective equidistribution
10. Large values of logarithmic derivatives of quadratic Dirichlet $L$-functions
11. On mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbers
12. Eisenstein-series evaluations for a family of hyperbolic cosine Lambert series
13. The de Rham and the syntomic logarithm
14. The Littlewood-Richardson rule for Schur $P$-, $Q$-multiple zeta functions
15. Zero-free regions inspired by work of Heath-Brown
16. Beyond Endoscopy for $\mathrm{GL}(3, \mathbb{Q})$: Poisson Summation
17. On the series expansion of the prime zeta function about $s=1$ and its coefficients
18. On the series expansion of the secondary zeta function about $s=1$ and its coefficients
19. Proportion of periodic points in reduction of polynomials
20. Explicit isomorphisms for a Herr-type complex over a metabelian extension
21. The second moment of derivatives of quadratic twists of modular $L$-functions
22. $p$-Ordinary Part of Hyperbolic Cycles on Modular Curves
23. Alternating geometric progressions modulo one and Sturmian words
24. Non-Vanishing of Dirichlet $L$-functions at the central point with restricted root number
25. A note on polynomial equidistribution and recurrence in finite characteristic
26. McMullen's Curve, the Weil Locus, and the Hodge Conjecture for Abelian Sixfolds
27. Low degree points on singular plane curves
28. Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
29. The Erd\H{o}s-Ginzburg-Ziv theorem constant of finite groups
30. Rigidity of Lyapunov exponents for polynomials
31. On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$
32. Neutral representations of finite diagonalizable group schemes and fields of moduli
33. The exceptional locus of a motivic local system
34. Double Recurrence and Almost Sure Convergence: Primes and Weighted Theory
35. On corank 4 unitary representations of classical groups
36. Entropy of affine permutations and universality of affine atomic lengths

arXiv math.NTの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-23/

1. Automorphisms of finite fields from isogeny cycles
2. Families of Congruences for Partitions with $k$-colored odd parts
3. Parry order of Parry numbers
4. Torsion Packet Envelope and Rational Points of Algebraic Curves
5. Asymptotic Formula for $(t+1)$-Regular Partitions
6. Irreducibility and Monodromy of Automorphic Galois Representations of $\mathrm{GL}(4)$
7. A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
8. A Universal Identity for Powers in Quadratic Algebras and a Matrix Derivation of a Fibonacci Identity
9. An Exploration of Crank Generating functions for $t$-core partitions
10. Existence of minimal del Pezzo surfaces of degree 1 with conic bundles over finite fields

arXiv math.NTの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-20/

1. Bounded Representations by $x^2+y^2-z^2$
2. One one type of ud-preserving mapping
3. Why Eight Percent of Benford Sequences Never Converge
4. Norm-trace and Kloosterman sums in finite semi-simple algebras
5. Close fields, affine Springer fibers and fundamental lemmas
6. The triality of the twisted discrete trace formula for PGSO(8)
7. Simplest cubic fields with small class number
8. Mahler's method and Carlitz logarithm
9. The non-abelian Leopoldt conjecture and equalities of $\mathcal{L}$-invariants
10. Minimal Weierstrass models and regular models of hyperelliptic curves
11. Multiplication Tables for Integers with Restricted Prime Factors
12. On Rado's single equation theorem
13. State Complexity of Shifts of the Fibonacci Word
14. Joint ergodicity - 40 years on
15. $R$-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence