プレプリどんどん: math.NT

arXiv math.NTの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-16/

1. Representation of Ramanujan's tau function by twisted divisor functions
2. A proof of $p$-adic Gross--Zagier theorem via BDP formula
3. Fourier Dimension in Duffin--Schaeffer Conjecture
4. Distribution modulo one of linear recurrent sequences
5. $p$-adic Linear Regression for Random Sampling with Digitwise Noise

arXiv math.NTの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-15/

1. Simultaneous non-vanishing of Dirichlet L-functions
2. On the $K$-extensions between Serre weights for unramified $\mathrm{GL}_3$
3. The $p$-adic monodromy theorem over algebraic-affinoid algebras
4. Multivariable automatic arrays and transcendence
5. Solubility for families of norm equations coming from abelian number fields
6. Applications of patching the coherent cohomology of modular curves
7. An inverse theorem for sumsets of sets of positive density in the integers
8. On the number of missing integers in partitions

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/2026-04-14/

1. Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields
2. A comment on the equation $n!!=a_1!!\cdots a_t!!$
3. A formal proof of the Ramanujan--Nagell theorem in Lean 4
4. Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms
5. The Number of Solutions to $ax+by+cz=n$ for Fibonacci and Lucas triplets
6. A note on small theta lift
7. Remarks on Brauer-Manin obstruction for Weil restrictions
8. On the Chevalley-Bass number of a field
9. Conjectural decomposition of symmetric powers of automorphic representations for $\mathrm{GL}(n)$
10. Beatty solutions of almost Golomb equations
11. Regular ternary sums of generalized polygonal numbers
12. Local square mean in the hyperbolic circle problem and sums of Sali\'e sums
13. A Fixed-Prime Criterion for Reciprocals in Missing-Digit Sets
14. Branched covers of $\mathbb{P}^1$ and divisibility in class group
15. The solvability of the inverse volcano problem over non-prime finite fields
16. Almost Free Non-Archimedean Banach Spaces and Relation to Large Cardinals
17. Character values and conductors of low-rank groups of Lie type
18. Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24
19. Geometrization of the Schr\"odinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting
20. Algorithms on the Pyasetskii involution on local Langlands parameters of classical groups
21. Pro-$p$ Iwahori-Hecke modules in semisimple rank one and singularity categories
22. An analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field

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/2026-04-13/

1. Galois theory for finite fields
2. Seven squares from three numbers
3. Dedekind zeta functions of non-Galois torsion fields of elliptic curves
4. A Dynamical Lifting Problem For Additive Polynomials
5. Values of algebraic functions at Liouville numbers
6. Identities and transformations for Lambert series and double Lambert series
7. Linear recurrence sequences and palindromic concatenations of two repdigits in base $\beta$
8. Differential operators on locally analytic Shimura varieties
9. Quartic reductions and elliptic obstructions for perfect Euler bricks
10. Bounding the exponential sum on squares of some sifted sequences
11. Modular curves and bad reduction
12. Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
13. A Neukirch-Uchida Theorem for 3-Manifolds

arXiv math.NTの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-10/

1. On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms
2. Universal sums of generalized polygonal numbers of almost prime length
3. Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$
4. A Liouville-Type Inequality for Values of Mahler M-Functions
5. Resurgence of high-energy string amplitudes
6. Lifting banal representations of classical groups
7. L-modules are mixed
8. On a descent conjecture of Wittenberg

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/2026-04-09/

1. On a perturbed Hofstadter $Q$-recursion
2. Order drop, Hecke descent, and a mod $p^4$ supercongruence for symmetric-cube hypergeometric coefficients
3. The Domb Ap'ery-limit and a proof of the Ramanujan Machine conjecture Z2
4. On the Double Lambert Series Conjecture of Andrews-Dixit--Schultz-Yee
5. The Thue-Morse Transform
6. On canonicity for integral models of Shimura varieties with hyperspecial level
7. Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves
8. Boundary Cohomology of Sp6(Z): Trivial Representation
9. A Hal\'{a}sz-type asymptotic formula for logarithmic means and its consequences
10. Arithmetic intersections on non-split Cartan modular curves
11. Random conic bundle surfaces satisfy the Hasse principle
12. Explicit inequalities for the nth lucky number
13. Weighted averages of arithmetic functions and applications to equidistribution
14. On the cohomology of negative Tate twists via cyclotomic descent
15. On a conjecture of Deines
16. $p$-adic Theory for Partial Toric Exponential Sums
17. Congruence modules and Wiles defects of determinantal rings of maximal minors
18. Short proofs in combinatorics, probability and number theory II
19. Topological Indices of Divisor Prime Graphs
20. A note on complex Lie Algebras isomorphic to their conjugate

arXiv math.NTの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-08/

1. Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve
2. On Elliptic Sequences over Commutative Rings
3. A statistical investigation of a divisor-sum function
4. Matchable numbers
5. Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
6. There are infinitely many Hilbert cubes of dimension 3 in the set of squares
7. Partial sums of random multiplicative functions with supercritical divisor twists
8. On the computation of base-change lifts and lifts of Hida families
9. Small gaps between consecutive zeros of the Riemann zeta-function
10. On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
11. Asymptotic expansions of integrals and Nielsen's polylogarithms
12. Theta Cycles of Modular Forms Modulo $p^2$
13. Frobenius nonclassicality of generalized Fermat curves with respect to conics
14. On the largest strongly connected component of randomly oriented divisor graphs
15. Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
16. Analytically generated sharply o-minimal structures

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/2026-04-07/

1. Series for $1/\pi$ arising from Cauchy product
2. Multiple Gauss sums
3. On $u$-Multiple Zeta Values in Positive Characteristic
4. On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics
5. Arithmetic volume of Shtukas and Langlands duality
6. Relation between Anderson Generating Functions and Weil Pairing
7. Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
8. Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives
9. Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials
10. On special values of Koshliakov zeta functions
11. A note on Bremner's conjecture and uniformity
12. Rank jumps for Jacobians of Hyperelliptic curves on K3 surfaces
13. Cohomology of special unitary groups and congruence subgroups
14. LRC codes over characteristic $2$
15. Problems and results on intersections of product sets and sumsets in semigroups
16. Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields
17. Unlikely intersections in families of polynomial skew products

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/2026-04-06/

1. General formulas for a class of Euler sums
2. Almost Golomb Sequences
3. Higher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$
4. On a Conjecture about Sums Involving Farey Fractions
5. Mixed character sums modulo prime powers
6. Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms
7. Equivalence between the Functional Equation and Vorono\"{\i}-type summation identities for a class of $L$-Functions
8. Large values of $L(\sigma,\chi)$ for subgroups of characters
9. Points of low degree on curves over function fields
10. A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral
11. Functoriality and the theta correspondence
12. A generalization of Bressoud's beautiful bijection
13. p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy
14. Algebraization of absolute perfectoidization via section rings
15. Large sum-free sets in finite vector spaces II
16. Higher order derivative moments of CUE characteristic polynomials and the Riemann zeta function
17. On de Rham--Witt Cohomology of Classifying Stacks
18. A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
19. High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy

arXiv math.NTの新着論文18本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-03/

1. The relativistic $p$-adic sunscreen conjecture
2. On Series Involving Cubed Catalan Numbers
3. Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves
4. On algebraic independence of three p-adic continued fractions
5. On finite analogues of Dobi\'{n}ski's formula and of Euler's constant via Gregory polynomials
6. Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions
7. Towards the $p$-adic Hodge parameters in semistable representations of $\mathrm{GL}_n(\mathrm{Q}_p)$
8. Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections
9. A digit-sum formula for B\"ottcher coordinates
10. The Circle Method for Quadrics over Function Fields
11. Counting Frobenius extensions over local function fields
12. On congruence conjectures of Andrews and Bachraoui
13. Worse than square-root cancellation in Bateman-Horn's conjecture
14. Large values of exponential sums with multiplicative coefficients
15. Galois group of exceptional curves on the generic del Pezzo surface
16. Cuspidal $\ell$-modular representations of ${\rm GL}_n(F)$ distinguished by a Galois involution, II
17. On the inverse Galois problem for del Pezzo surfaces of degree 1
18. Intersections and the B\'ezout Range: Abelian Varieties