GaloisとFareyとSVP - 2026/3/31の論文32本

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/A categorical p-adic Langlands correspondence for GL_2(Q_p)Tempered vs generic automorphic functions and the canonical filtration on automorphic functionsAsymptotic Universal Koszulity in Galois CohomologyImproved Bounds for 3-ProgressionsA note on the multiple zeta functions and their variants at identical argumentsNP-hardness of SVP in Euclidean SpaceThe congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet densityMonodromy groups of polynomials of composition length 2Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$-expansionsGalois representation of the product of two Drinfeld modules of generic characteristicThe Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$Some vanishing results for the rational completed cohomology of Shimura varietiesOn the locally analytic completed cohomology of modular curvesProducts of consecutive integers with unusual anatomyZeta Zeros in a Narrow Vertical BoxPlectic Heegner classesSpecial geodesics and atypical intersectionsFarey graphs and geodesic expansions of complex continued fractionsComplete Walsh spectra for a permutation-inverse family of Boolean functionsThe conjecture of Colmez and reciprocity laws for modular formsOne continuum class of fractal functions defined in terms of $Q^*_s$-representationNumeral systems with non-zero redundancy and their applications in the theory of locally complex functionsOn the satisfaction frequency of spectral characterization conditionsStructure of the Components of the Fixed Locus of a Self-Map of the Berkovich LineA short proof of Erd\H{o}s's $B+C$ conjectureEnglish translation of Frobenius' and Stickelberger's "On the theory of elliptic functions"Root lattices over totally real fieldsMotivic counting of curves on split quintic del Pezzo surfacesOn Generalizations of Maiorana-McFarland and $\mathcal{PS}_{ap}$ FunctionsZeros in the character table of the symmetric groupOptimal bounds for an Erd\H{o}s problem on matching integers to distinct multiplesWeakly special varieties, Campana stacks, and Remarks on Orbifold Mordell