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/2026-03-10/

1. Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions
2. Quadratic Congruences for half-integral weight cusp forms with the eta multiplier
3. Remarks on polynomial count varieties
4. Resolution of the Skolem Problem for $k$-Generalized Lucas Sequences
5. $\{\pm 1\}$-weighted zero-sum constants
6. Oscillatory Interference in Dirichlet L-Functions and the Separation of Primes
7. A trigonometric approach to an identity by Ramanujan
8. On the de Rham flip-flopping in dual towers
9. Serre conjecture II for pseudo-reductive groups
10. An Equivalent form of Twin Prime Conjecture connected with a sequence of arithmetic progressions
11. A short remark on the $\ell$-torsion part of class groups
12. On odd-spin $A_{1}^{(1)}$-string functions, cross-spin identities, and mock theta conjecture-like identities
13. Distributions of left prime truncations
14. New Ramanujan-type congruences for overpartitions modulo $11$ and $13$
15. The image of the adelic Galois representation of an elliptic curve with complex multiplication
16. An archimedean approach to singular moduli on Shimura curves
17. Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory
18. Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$
19. Local theta correspondence and Galois periods
20. On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions
21. Finite capture and the closure of roots of restricted polynomials
22. Extreme value theorem for geodesic flow on the quotient of the theta group
23. Noncommutative Wilczynski Invariants, and Modular Differential Equations
24. A Lock-Free, Fully GPU-Resident Architecture for the Verification of Goldbach's Conjecture
25. Heights on toric varieties for singular metrics: Global theory
26. Finiteness of specializations of the $q$-deformed modular group at roots of unity
27. The Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruences
28. Theorem of the heart for Weibel's homotopy $K$-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/2026-03-09/

1. The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$
2. Waring-Goldbach problems for one square and higher powers
3. Joint Linnik problems
4. On an elementary method for solving $Ax^4-By^2=1$
5. On indefinite integral ternary quadratic forms
6. Cohen-Macaulayness of Local Models via Shellability of the Admissible Set
7. On the spectrum of Diophantine exponents of lattices
8. On The Hausdorff Dimension Of Two Dimensional Badly Approximable Vector
9. Ramanujan Complexes from Unitary Groups over Number Fields
10. Rational Preperiodic Points of Quadratic Rational Maps over $\mathbb{Q}$ with Nonabelian Automorphism Groups
11. On the monogenicity and Galois groups of $\boldsymbol{x^{2p}+ax^p+b^p}$
12. On the integer partitions recursive structure
13. Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture
14. Reductification of parahoric group schemes
15. A Note on Hodge theoretic anabelian geometry

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/2026-03-06/

1. Restricted set addition in finite abelian groups
2. BSD Invariants and Murmurations of Elliptic Curves
3. The $p$-Dissection of a Product of Quintuple Products
4. Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number
5. Frequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the Digits
6. A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra
7. Analysis of the Riemann Zeta Function via Recursive Taylor Expansions
8. Iwasawa invariants and class number parity of multi-quadratic number fields
9. Construction of higher Chow cycles on cyclic coverings of $\mathbb{P}^1 \times \mathbb{P}^1$, Part II
10. Andrews--Gordon type identities with parity restrictions through particle motion

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/2026-03-05/

1. On Permutation Trinomials and Complete Permutation Polynomials via Fiber Criteria over Finite Fields
2. Asymptotic Mean of Digits of the $Q_s$--representation of the Fractional Part of a Real Number and Related Problems of Fractal Geometry and Fractal Analysis
3. Linear fractals of the Bezikovitch--Eggleston type
4. Topological, metric and fractal properties of the set of real numbers with a given asymptotic mean of digits in their $4$--adic representation in the case when the digit frequencies exist
5. Three Questions of Erd\H{o}s-Nathanson on Asymptotic Bases of Order 2
6. Semistable intrinsic reduction loci for the iterations of non-archimedean quadratic rational functions
7. Polarized superspecial abelian varieties over $\mathbb{F}_p$ via hermitian lattices
8. Lubin's conjecture for height-one $p$-adic dynamical systems over $(p^2-p)$-tame extensions
9. Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images
10. Strong Approximation for the Character Variety of the Four-Times Punctured Sphere
11. A trick to ensure positive Mordell-Weil rank
12. On the defect in the generalized Grunwald--Wang problem
13. Sums of four generalized polygonal numbers of almost prime length
14. The Geometric Unitary Kudla Conjecture
15. On the maximal run-length function in the L\"uroth expansion
16. Some remarks about q-Narayana polynomials for q=-1
17. Abelian-normal decimal expansions

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/2026-03-04/

1. Periodic vanishings of the Legendre-17 signed partition numbers
2. Distribution of square-free palindromes
3. A log prismatic-crystalline comparison theorem
4. On signs of coefficients of L-functions
5. On the Frobenius number for three variables
6. Joint distribution of leftmost digits in positional notation and Schanuels's conjecture
7. Twisted dynamical zeta funcions and the Fried's conjeture
8. SIP classes and four-parameter partition identities
9. Galois Orbit Bounds for Surface Degenerations
10. GoldbachGPU: An Open Source GPU-Accelerated Framework for Verification of Goldbach's Conjecture
11. A twisted Hecke algebra, then and now, and a Klein bottle of tempered representations
12. Hasse-Witt invariants of Calabi-Yau varieties
13. Monochromatic sums and quotients in $\mathbb N$
14. Noether-Lefschetz general complete intersection K3 surfaces over the rationals

arXiv math.NTの新着論文37本をご紹介します。

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

1. The minimal width of universal $p$-adic ReLU neural networks
2. Zolotarev's Magical Proof of Quadratic Reciprocity
3. Unconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral Weights
4. On log crystalline higher direct image
5. The Bombieri--van der Poorten Formula for Partial Quotients of Higher Degree Algebraic Irrationals
6. A Deterministic Fractal Set Derived from the Sequence of Prime Numbers
7. On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets
8. Another proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$-values
9. Almost prime numbers
10. On bilinear sums with modular square roots and applications II
11. Equidistribution in shrinking sets for arithmetic spherical harmonics
12. The 2-term Dilogarithm
13. Automatic convergence for holomorphic modular forms
14. Inequalities for the number of $t$-hooks in two partition classes arising from sum-product identities
15. Weighted averages of $p$-adic hypergeometric functions and traces of Frobenius of elliptic curves
16. Regulator Constants and Cohomology
17. On a theorem of Schmidt's subspace theory with moving targets
18. Relative integral spinor norm groups over dyadic local fields
19. The overconvergence of multivariable $(\varphi_q,\mathcal{O}_K^{\times})$-modules at the perfectoid level
20. Lower bounds for the large deviations and moments of the Riemann zeta function on the critical line
21. Jacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)
22. Transfer principles and the Kato-Kuzumaki conjecture
23. Mass equidistribution for lifts on hyperbolic $4$-manifolds
24. Partial weight one modularity for Galois representations associated to mod $p$ Hilbert modular forms
25. An estimate for incomplete mixed character sums and applications
26. Torsion cycles on Fermat varieties
27. A note on the M\"obius uncertainty principle for posets
28. Proofs of some conjectures of Okazaki and Smith on line defect half-indices of ${\rm SU}(N)$ Chern-Simons theories
29. Modularity of special cycles on Shimura varieties: a survey
30. Covers of curves, Ceresa cycles, and Unlikely intersections
31. Non-Archimedean Tarski-Maligranda Inequalities
32. A lift of the colored Jones polynomial of a knot
33. Overcolored Partition Restricted by Parity of the Parts
34. A Dynamical Fekete-Szeg\H{o} Theorem
35. Berkovich $2$-motives and normed ring stacks
36. Coexact $1$-form spectral gaps of hyperbolic rational homology spheres
37. Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications

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/2026-03-02/

1. Completeness of exponentially increasing sequences
2. Meta-automatic Sequences
3. Duffin--Schaeffer examples, real residue systems, and Bohr-set primes
4. Arithmetic properties of arguments of algebraic numbers on the unit circle
5. Counting number fields using multiple Dirichlet series
6. 4-rank distribution of Picard groups of hyperelliptic curves via $C$-symmetric matrices
7. On quasi-split orthogonal local models of PEL type D
8. Products of factorials which are products of factorials
9. A Functorial Refinement of the Franke Filtration and the Jacquet--Langlands Correspondence for Spaces of Automorphic Forms
10. Improved, sublinear projective Schwartz-Zippel and (sub)quadratic dimension growth bounds in arbitrary codimension
11. Periods of hyperplane arrangements and multiple polylogarithms
12. Newton strata realization for hypersurfaces via explicit p-adic cohomology
13. Diamond Determinants and Somos Sequences
14. On Weierstrass semigroups of maximal Fermat function fields
15. Sarnak's Program for Erd\H{o}s Sieves. Part I: Topological Dynamics and Light Tails
16. Sarnak's Program for Erd\H{o}s Sieves. Part II: Measure Systems and Applications

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/2026-02-27/

1. Simultaneous Approximation for Lattice-Based Cryptography
2. Computing Invariants of Artin-Schreier Curves
3. Analogue of the theta group $\Gamma_{\theta}$
4. Weakening the Legendre Conjecture
5. Multiplicative Diophantine Approximation on Planar Lines with Restricted Denominators
6. An Explicit Result for the Sum of Two Almost Primes
7. On rational quadratic cocycles
8. Distribution of sums involving Dirichlet characters over the $k$-free integers
9. Invertible Calabi-Yau Orbifolds over Finite Fields II
10. Endoscopic transfer and the wavefront upper bound conjecture
11. R-triviality for adjoint classical groups of type C
12. Approximating parametric suprema for constructible and power-constructible functions
13. Toric schemes and integral models for Shimura varieties with $\Gamma_1(p)$-type level

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/2026-02-26/

1. A statistical model for points expanding in higher dimensions while being tied to bijective involutions
2. Prime-Weighted Interference Patterns Inspired by the Euler Product
3. Ours go to 211: Euler pseudoprimes to 47 prime bases (from Carmichael numbers)
4. Quartic del Pezzo surfaces over $\mathbb{F}_p(t)$ without quadratic points
5. Equidistribution for Tannakian monodromy groups
6. The cyclosyntomic regulator of a number field
7. Goldfeld conjecture for non-hyperelliptic direction
8. Second moment of $\textrm{GL(3)} \times \textrm{GL(2)}$ $L$--functions
9. Similitudes over fields with I^4=0
10. Estimates for Character Sums in Finite Fields, $\mathbb{F}_{p^n}$
11. Perfectoid unitary Shimura varieties and $p$-adic Eichler-Shimura map I
12. Side lengths of cubes with vertices in $\mathbb Z^n$
13. An application of Fontaine's monoidal maps to perfectoid towers

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/2026-02-25/

1. Modularity of a certain "rank-2 attractor" Calabi-Yau threefold
2. Algebraic Characterization of Angle Multisections over Rings
3. On Wagstaff primes in the $k$-Lucas number sequence
4. Single conjugacy classes of isometries in orthogonal groups over local fields
5. Solutions of polynomial equations in several variables modulo a prime power
6. On local characterizations of Hida families of Siegel modular forms
7. A Diophantine inequality with five squares of Piatetski-Shapiro primes
8. On the Asymptotic Behavior of a Multiplicative Arithmetic Function Related to the Divisor Function Over Perfect Squares Integers Generated by Shifting
9. Primes in arithmetic progressions to large moduli and refinements of Harman's sieve
10. Rational points on modular curves: parameterization and geometric explanations
11. Distributions of unramified extensions of global fields
12. Torsion points on $\rm{GL}_2$-type abelian varieties
13. Toward the $p$-adic Hodge parameters in the potentially crystalline representations of $\mathrm{GL}_n$
14. Elementary local representation densities at all primes via lifting recursions
15. Potential Relation Between the Riemann Zeta Function and the Polynomial Function $F$ of the Generalized Erd\H{o}s--Straus Conjecture, Subject to its Analytic Continuation
16. Existential theories of henselian valued fields under a formal smoothness assumption
17. Quantum wreath products and $p$-adic general linear group
18. Shifted multiplicative subgroups are not ratio sets