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

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