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/2026-03-31/

1. A categorical p-adic Langlands correspondence for GL_2(Q_p)
2. Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
3. Asymptotic Universal Koszulity in Galois Cohomology
4. Improved Bounds for 3-Progressions
5. A note on the multiple zeta functions and their variants at identical arguments
6. NP-hardness of SVP in Euclidean Space
7. The congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density
8. Monodromy groups of polynomials of composition length 2
9. Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$-expansions
10. Galois representation of the product of two Drinfeld modules of generic characteristic
11. The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
12. Some vanishing results for the rational completed cohomology of Shimura varieties
13. On the locally analytic completed cohomology of modular curves
14. Products of consecutive integers with unusual anatomy
15. Zeta Zeros in a Narrow Vertical Box
16. Plectic Heegner classes
17. Special geodesics and atypical intersections
18. Farey graphs and geodesic expansions of complex continued fractions
19. Complete Walsh spectra for a permutation-inverse family of Boolean functions
20. The conjecture of Colmez and reciprocity laws for modular forms
21. One continuum class of fractal functions defined in terms of $Q^*_s$-representation
22. Numeral systems with non-zero redundancy and their applications in the theory of locally complex functions
23. On the satisfaction frequency of spectral characterization conditions
24. Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
25. A short proof of Erd\H{o}s's $B+C$ conjecture
26. English translation of Frobenius' and Stickelberger's "On the theory of elliptic functions"
27. Root lattices over totally real fields
28. Motivic counting of curves on split quintic del Pezzo surfaces
29. On Generalizations of Maiorana-McFarland and $\mathcal{PS}_{ap}$ Functions
30. Zeros in the character table of the symmetric group
31. Optimal bounds for an Erd\H{o}s problem on matching integers to distinct multiples
32. Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell