プレプリどんどん: math.NT

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/2026-05-14/

1. A connection between low-lying zeros and central values of $L$-functions
2. Componentwise height bounds for polynomial value-set lifting
3. Wieferich Primes and Monogenic Trinomials
4. On Galois Embedding Problems Arising from 3-Torsion of Elliptic Curves
5. Large values of shifted mixed character sums
6. Fields where torsion forms decompose
7. Tautological modular forms of level two and degree two
8. Almost Affine Invariance Over Prime Fields: Green Problem 90
9. Nonexistence of certain classes of generalized bent functions: Revisiting the element partition method
10. A note on arithmetic progressions with restricted differences
11. When Does the Dice Sum Become Prime?
12. Graphs of Hecke operators in mixed ramification

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/2026-05-13/

1. The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves
2. Two dimensional arithmetic progressions avoiding squares
3. Explicit determination of a class of permutation rational functions in any characteristic
4. Bigness of Canonical Quadratic Points on Curves of Genus 4
5. Weil-Moore anima
6. Squared edge lengths of regular simplices with rational vertices
7. Homological sieve and Manin's conjecture
8. Analytic Properties of Necklace Polynomials
9. Local height arguments toward the dynamical Mordell-Lang conjecture
10. $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

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/2026-05-12/

1. Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$
2. A Complete Answer to Erd\H{o}s Problem 690
3. Rational Base Descent: A Deterministic Algorithm for Factoring Structured Semiprimes
4. Some Omega results for Dirichlet $L$-functions
5. Multiple integral representations of the Catalan's constant
6. Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
7. On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
8. Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
9. On the coefficients of the Taylor expansion of $L$-functions of elliptic curves
10. Low-Lying Zeros on the Critical Line for Families of Dirichlet $L$-Functions
11. On the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduli
12. An analogue of a formula of Popov II
13. The variation of zeros of the Miller basis
14. Lacunary recurrences and 2-adic properties of Eisenstein series
15. On Ramanujan Primes for Hecke-Maass Cusp Forms
16. Congruences of first syntomic cohomology groups
17. The Serre Derivatives and Zeros of Modular Forms
18. An explicit Galois descent for multiple $t$-values of maximal height
19. Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
20. Reciprocals of Subsum Polynomials
21. $p$-adic Congruencens of Generalized Euler Numbers and Relations to Even Zeta Value
22. Learning from Ramanujan: Elementary Approaches to Profound Ideas
23. The martingale evolution of probability measures defined via the sum-of-digits functions
24. Invariant measure for double base expansions
25. Refined obstructions to local-global principles for 0-cycles
26. Deterministically finding an element of large order in $\mathbb{Z}_N^*$
27. Convergence of orbital integrals on unitary groups in positive characteristic
28. Poisson approximation of random lattices
29. A solution to a strengthened conjecture of Bukh, van Hintum and Keevash on additive bases

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/2026-05-11/

1. Three-term arithmetic progressions of consecutive powerful numbers
2. On almost primes solutions to forms of odd degrees in many variables
3. Poissonian correlations of $\alpha n^d$ mod $1$
4. Anderson generating function of rank-one Drinfeld Module over rational function fields
5. A Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their Generalizations
6. Weighted Distributions of Complex Multiplication Orders in Ordinary Isogeny Classes
7. Remarks on the distribution of Dirichlet $L$-functions along cosets
8. A strengthening of Chang's lemma
9. Multifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$
10. On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
11. Brik's sequence: a strange recursion
12. On ratios of theta functions

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/2026-05-08/

1. A Structure Sheaf for Kirch Topology
2. Multiple modular L-functions and modular iterated integrals
3. Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
4. The quotient problem for linear recurrence sequences
5. Evaluation of eight different families of cubic Euler sums
6. $\delta$-Badly approximable numbers and ubiquitously losing sets
7. A multidimensional Szemer\'{e}di theorem in integers
8. On algebraic twists with composite moduli, II
9. Asymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic Structures
10. Equidistribution of Eigenfunctions of Quantum Cat Maps

arXiv math.NTの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-07/

1. A new perspective on the rank of Mazur's Eisenstein Hecke algebra
2. Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
3. Rational orbits under correspondences
4. Thin subbases of Piatetski-Shapiro sequences
5. Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
6. A Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamples
7. Small values of signed harmonic sums and logarithmic means of multiplicative functions
8. $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
9. Statistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fields
10. Exponential sums over singular binary quintics
11. Non-Expansive Matrix Based number Systems
12. Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums
13. The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
14. The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings
15. Theta functions and transformations of bilateral basic hypergeometric series
16. Appell function proofs of recent and old mock theta function identities
17. On a polynomial involving quadratic residues modulo primes
18. A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
19. $p$-adic Manifold Learning and Benchmark Tasks from Impartial Games
20. The McKay correspondence and local heights for wild-by-tame split metacyclic groups
21. Energy and Vertex Energy of Modified Divisor Prime Graphs
22. The Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)

arXiv math.NTの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-06/

1. Sign changes of the Liouville function in arithmetic progressions
2. Monogenity of pure quintic fields: the power of sieving
3. Behaviour of Certain Crystalline Representations modulo $2$
4. Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
5. Lectures on Condensed Mathematics
6. Optimal embeddings for maximal orders of central simple algebras of degree 3 over number fields
7. Joint extreme values of $L$-functions on and off the critical line
8. A multivariate Strassmann theorem
9. Congruence rigidity of algebraic groups
10. Real approximation for homogeneous spaces with finite stabilizers
11. On the largest Sidon subset in a finite subset of $\mathbb{R}^N$
12. Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequences
13. Table-Based Encodings for Conway's Doomsday Algorithm: Vectorized Doomsdays and Doomyears
14. Signed sumsets and restricted signed sumsets in groups and fields
15. Characteristic-free approaches around Yu's construction
16. Lectures on Analytic Geometry
17. Small Matrices with Small Inverses: Unimodular Zerofree Cases

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/2026-05-05/

1. Monogenic Fields from Polynomial Compositions with Applications
2. Sets of integers satisfying Bateman-Horn statistics
3. Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor
4. A logarithmic structure theorem for multiplicative functions with small partial sums
5. 3-class field towers with 2 or 3 stages
6. A note on bilinear sums with modular square roots
7. Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
8. Numbers in a Beatty sequence which are orders only of cyclic, abelian or nilpotent groups
9. On the generalized inverse tangent integral and Catalan's constant
10. Gaps in Multiplicative Sidon Sets
11. On the Sum of a Prime and a Number that is not Square-Free
12. Expansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjecture
13. Cusp forms and parabolic cohomology classes for symmetric spaces of rank one
14. The generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applications
15. Reductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$
16. A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
17. Flat Cohomological Purity for Syntomic Schemes over Valuation Rings
18. On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories
19. Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence

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/2026-05-04/

1. The cardinality of a set containing the pairwise sums of a fixed number of integers
2. Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond
3. Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
4. Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes
5. Exponent-one blockers and a Mordell-Weil construction of Euler bricks
6. The Hurwitz sum-of-squares problem depends on the base field
7. Modular Forms and Numerical Explorations of Rational Approximations to $\zeta(3)$
8. On divisor sums due to Erd\H{o}s and Ramanujan
9. Lang-Trotter phenomena and unlikely intersections
10. A note on Zilber-Pink in $Y(1)^n$
11. Conjectural duality for iterated $q$-integrals on $\mathbb{P}^{1}$ minus four generic points
12. On convex bodies with constant non-central sections
13. Delta characters and crystalline cohomology of abelian schemes
14. On the largest sum-free subset of the lattice cube

arXiv math.NTの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-01/

1. An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$
2. Mod p Monodromy of Cyclic Covers of the Projective Line
3. Simple Lie Groups of type An as Galois groups over Q
4. On the difference between perfect powers and integral $S$-units
5. An improved non-linear Roth-type theorem in finite fields
6. A divisor function of Wigert and higher degree forms
7. Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic
8. A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
9. Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
10. Polynomial Maps with Constants on Matrix Algebra
11. The proportion of permutations fixing a $k$-set