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

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/2026-03-19/

1. Sieving with square conditions and applications to Hilbert cubes in arithmetic sets
2. Counting subalgebras of $\mathfrak{a}$
3. Density results for $r$-gaps between zeros of the Riemann zeta-function
4. Construction of a $p$-extension of number fields whose unit group has prescribed Galois module structure
5. On the size of $\{a: 1\leq a
6. Decidability of singularities in the Ekedahl--Oort stratification
7. Murmurations, Mestre--Nagao sums, and Convolutional Neural Networks for elliptic curves
8. Linear truncation for conditioned prime-factor fibres
9. Fields with no everywhere good abelian varieties
10. Diophantine approximation with integers having no large prime factors
11. Parry condition, existence and uniqueness of alternate bases
12. On rank $2$ hypergeometric motives
13. The inverse problem for the Steiner--Wiener index via additive number theory

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/2026-03-18/

1. Mean field equation and Green's function on the Tate curve
2. On the central derivatives of l-functions and modularity of heenger cycles
3. Galois groups of reciprocal polynomials II: Twisted reciprocal polynomials
4. Explicit and Effective Estimates for the error term in the Generalised Divisor Problem
5. Analogue of the theta group $\Gamma_{\theta},$ II
6. Simultaneous visibility in the algebraic lattice
7. Infinite extensions with finitely many CM moduli
8. Quantum ergodicity of Eisenstein series for Bianchi groups
9. Quantitative bounds on integrality for post-critically finite maps
10. An involutive perspective on Eisenstein's proof of quadratic reciprocity
11. Fractional parts of powers of negative rationals
12. Eigenforms and graphs of Hecke operators with wild ramification
13. Dyadic Self-Similarity in a Perturbed Hofstadter $Q$-Recursion
14. Relating Arthur packets of real unitary groups and $p$-adic symplectic and orthogonal groups
15. Realizations of 1-motives over a scheme of characteristic 0

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/2026-03-17/

1. Bogomolov property for modular Galois representations with nontrivial nebentypus
2. Dirichlet Series and Asymptotics for Generalized Legendre Factorials
3. Murmurations of Elliptic Curves over Function Fields
4. Multiple standard twists of $L$-functions
5. A note on the invariants of the $L$-functions
6. Parity of parts and excludant statistics in partitions
7. The multi-height distribution implies the Batyrev-Manin principle
8. A Totient Function Associated with Variants of Groups
9. Euler Characteristics of a Family of Congruence Subgroups of $GL_m(\Z)$
10. On some results of Korobov and Larcher and Zaremba's conjecture
11. Separable integer partition classes and Slater's list -- I
12. Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
13. Arithmetical structure of sumset intersections
14. Counting Polynomials via Galois Actions on Root Subsets
15. Hilbert cubes in sets with arithmetic properties
16. Multiplicities of eigenvalues and quadratic representations of integers
17. Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform
18. Bounded Additive Relation and Application to Finite Multiple Zeta Values
19. Primitive points on some low degree Fermat curves
20. Infinite families of APN permutations in constrained trivariate classes over $\mathbb{F}_{2^m}$
21. Variance of GL(2) Fourier coefficients in arithmetic progressions
22. Explicit formula for multi-indexed poly-Bernoulli numbers
23. $p$-adic $L$-functions for Hecke characters of totally imaginary fields
24. Lifts of unramified twists and local-global principles
25. Diversity, equity, and inclusion for problems in additive number theory
26. On Jiang's wavefront sets conjecture for representations in local Arthur packets
27. An analogue of Rogers' theorem on sieving in commutative rings
28. Negative $\beta$-transformations: invariant measures, subshifts of finite type and matching property
29. Twisted endoscopic character relation for toral supercuspidal L-packets of classical groups

arXiv math.NTの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-16/

1. Periodic Points of Power Maps in Finite Matrix Groups and Algebras
2. Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
3. Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts
4. A geometric proof of Lagrange's theorem for continued fractions
5. A vanishing theorem for residual Eisenstein cohomology
6. Derived geometric Satake equivalence on the Beilinson-Drinfeld Grassmannian with one leg in mixed characteristic
7. Disproof of the uniform Littlewood conjecture
8. The weight two and opposite sign cases for the Fourier relative trace formulas
9. Jacobian graphs
10. Sizes of Pre-Images of the Minimal Euclidean Function on the Gaussian Integers
11. A Tate-Type Theorem for Crystalline Classes in the 1-Motivic Category
12. Sharp threshold for universality of cokernels of classical random matrix models over the $p$-adic integers

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/2026-03-13/

1. On the 3-adic Valuation of a Cubic Binomial Sum
2. The M \"obius Disjointness Conjecture on infinite-dimensional torus
3. $p$-adic Principal Component Analysis
4. On the distribution of shapes of totally real multiquadratic number fields
5. Introduction to Dieudonn\'e modules and supersingular abelian varieties revisited
6. Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields
7. On the discrete mean square of certain hybrid sum involving $a_{\mathbb{K}}(n)$
8. Badly approximable points on non-linear carpets
9. On the $2$-adic valuation of $\sigma_k(n)$
10. The distribution of large values of mixed character sums
11. Combinatorial designs and the Prouhet--Tarry--Escott problem
12. On an Overpartition Analogue of $SOME(n)$
13. Primitive-Root Determinant Densities over Prime Fields and Implications for PRIM-LWE
14. Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces
15. Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture

arXiv math.NTの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-12/

1. On the discrete convolution of the Liouville and M\"obius functions
2. On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares
3. Algebra Structures of Multiple Eisenstein Series in Positive Characteristic
4. Transcendence of $p$-adic continued fractions and a quantitative $p$-adic Roth theorem
5. $p$-adic $L$-functions for elliptic curves over global function fields
6. Toroidal families and averages of $L$-functions, II: cubic moments
7. Hook Length Biases in $t$-Core Partitions

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/2026-03-11/

1. Divisor Structure of p-1 in Mersenne Prime Exponents
2. Iwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number Fields
3. Frobenius structure on rigid connections and arithmetic applications
4. On the Green-Tao theorem for sparse sets
5. On a cyclic structure of generators modulo primes
6. On autoduality of Drinfeld modules and Drinfeld modular forms
7. Murmurations: a case study in AI-assisted mathematics
8. The Flint Hills Series, Mixed Tate Motives, and a Criterion for the Irrationality Measure of $\pi$
9. The unstable complex in Bruhat-Tits buildings for arithmetic groups over function fields
10. Antisymmetry of real quadratic singular moduli
11. The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures
12. The Hofstadter consecutive-sum sequence omits infinitely many positive integers
13. Cycles on splitting models of Shimura varieties
14. On the height boundedness of periodic and preperiodic points of dominant rational self-maps on projective varieties
15. On the Existence of Algebraic Equiangular Lines