指数和と局所ラングランズと代数点 - 2026/6/10の論文18本

arXiv math.NTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-10/On partial T-adic exponential sums and partial exponential sums with p-power conductorA generic categorical local Langlands correspondence for quasi-split reductive groupsA Tsang-range high-moment bound for $\operatorname{Im}\log L(\tfrac12+it,\chi)$ under GRHPrime Quadruplets and Jump Conditions on Arithmetic FunctionsUnique decomposition of ordersOn the Ekedahl sieve for the singular locus of the discriminant polynomialHilbert irreducibility for algebraic pointsEisenstein-Kronecker classes on Hilbert moduli spaces and a new construction of Katz's $p$-adic measureLinear relations of four conjugates of an algebraic number of degree eightA Divisor Parametrization for the Erd\H{o}s--Straus ConjectureWeighted partitions with interval restrictions: exact formulas and a bivariate master identityAdjacent comparison bounds and extremal sets for Ruzsa numbersA natural e\~ne product construction of the Big Witt ringMaximal Transcendentality of the Double-Scaled PCMInd-Banach approach to Grothendieck duality in Rigid-analytic geometryOn superspecial hyperelliptic curves of Rosenhain formsThe convergent stackOn the rank of hypergeometric sheaves on higher dimensional tori