arXiv math.NTの新着論文27本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-24/

1. Solving equations of signature $(p,p,2)$ with coefficients over number fields
2. Gain Bounds for Diagonal Superelliptic Equations under the Strong ABC Conjecture
3. Proofs of Lupu's conjectures for multiple zeta values and multiple $t$-values
4. Moduli of $G$-bundles on rigid gerbes over affine curves
5. Congruences for traces of singular moduli and Hurwitz - Kronecker class numbers
6. Arithmetic BF theory and the Cassels-Tate pairing
7. $L^4$-norms of automorphic forms in the depth aspect
8. A cohomological invariant for algebras of degree 8 and exponent 2 in characteristic 2
9. Arithmetic Aspects of Number Fields Generated by Polynomial Families
10. On the analytic continuation of Dirichlet series with missing digits
11. Stacky Batyrev-Manin conjecture and modular curves
12. A new proof of Carlitz-Wan conjecture on exceptional polynomials
13. Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups
14. Nontrivial torsion in the Tate--Shafarevich group via visibility and twists
15. Arithmetic properties of DSOME function
16. Properties of the Function \(F_{x,t}^{(k)}(n)\) with Applications to the Erd\H{o}s--Straus, Sierpi\'nski Conjectures and Their Generalizations
17. Quantitative results on the $k$-dimensional Duffin-Schaeffer conjecture
18. Large fluctuations of random multiplicative functions
19. Subconvexity Problem on $\operatorname{GL}_3$ over number fields: the twist aspect
20. On the Ramanujan Vector Field modulo $p$
21. The number of non-isomorphic arithmetic expressions that can be constructed using +,-,x and /
22. Power partitions and Khinchin families
23. Corrigendum and addendum to "Fixed-point-free elements of iterated monodromy groups" [Trans. of the American Mathematical Society Vol. 367, No. 3 (2015), 2023-2049]
24. Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups
25. Extreme $L_p$ discrepancy, numerical integration and the curse of dimensionality
26. Monodromy rank and the semisimple Mumford-Tate conjecture for hyper-K\"ahler varieties
27. Hilbert surfaces, modular forms, and Siegel-Veech constants

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/2026-02-23/

1. The Golden Sieve and its connections to Hiccup sequences and Fraenkel games
2. Fermat's Last Theorem for Selmer sections
3. Product of powers of distinct primes as sums of Fibonacci numbers
4. A function field analogue of Ligozat's theorem for Drinfeld modular units
5. Modules of Jacobi forms of degree two of small levels
6. A new class of Correlations insisting on Ramanujan expansions
7. Dynamical GCD Problems and a Variant of the Dynamical Mordell-Lang Conjecture

arXiv math.NTの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-20/

1. Algebraic representatives of the ratios $\zeta(2n+1)/\pi^{2n}$ and $\beta(2n)/\pi^{2n-1}$
2. Complex Moments, Gamma and Riemann Zeta Functions unified by the Parabolic Mellin Transform
3. Non-hyperelliptic modular curves of genus 3
4. On the local-global principle for twists of abelian varieties
5. Computing class groups and gonalities of algebraic curves over finite fields
6. Classifying binary quadratic forms using Clifford invariants

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/2026-02-19/

1. On the Lagarias Inequality and Superabundant Numbers
2. On the Jacobian of $\overline{{{\rm Spec}\,\mathbb Z}}$
3. On the Mean Value of a Weighted Composite Arithmetic Function
4. Binomial sums and properties of the Bernoulli transform
5. Quantum modularity of signatures in TQFT and generalized Dedekind sums
6. Intersections of special cycles on Shimura curves and Siegel Maass forms
7. A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension
8. On coefficients, potentially abelian quotients, and residual irreducibility of compatible systems
9. Remarks on the inverse Littlewood conjecture
10. Hensel minimality, $p$-adic exponentiation and Tate uniformization
11. Anticoncentration of Random Sums in $\mathbb{Z}_p$

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/2026-02-18/

1. $\mathcal L$-invariants and deep congruences between newforms
2. Szemer\'edi's Theorem Along Cantor Sets of Integers
3. Relations for partitions with distinct even parts except the largest part which is even
4. On the discriminant and index of a certain class of polynomials
5. A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
6. Space-filling lattice designs for computer experiments
7. Subgroups with all finite lifts isomorphic are conjugate
8. Steenrod operations and symplectic arithmetic duality
9. Asymptotics and zero distribution of geometric polynomials
10. Conjugacy classes of regular integer matrices
11. Power monoids and their arithmetic: a survey
12. On Graham's rearrangement conjecture

arXiv math.NTの新着論文23本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-17/

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/2026-02-16/

arXiv math.NTの新着論文32本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-01-21/

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/2026-01-19/

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/2026-01-16/