類体論と数論的関数と楕円曲線 - 2026/5/5の論文19本

arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-05/Monogenic Fields from Polynomial Compositions with ApplicationsSets of integers satisfying Bateman-Horn statisticsBowen--Franks groups and minus class groups of cyclotomic number fields with prime conductorA logarithmic structure theorem for multiplicative functions with small partial sums3-class field towers with 2 or 3 stagesA note on bilinear sums with modular square rootsArchimedean arithmetic Siegel--Weil formula for general weights over Shimura curvesNumbers in a Beatty sequence which are orders only of cyclic, abelian or nilpotent groupsOn the generalized inverse tangent integral and Catalan's constantGaps in Multiplicative Sidon SetsOn the Sum of a Prime and a Number that is not Square-FreeExpansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjectureCusp forms and parabolic cohomology classes for symmetric spaces of rank oneThe generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applicationsReductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumerationFlat Cohomological Purity for Syntomic Schemes over Valuation RingsOn conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theoriesTwisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence