整数値と集合和と群の構造 - 2026/10/22の論文35本

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-22/An Asymptotic for Non-Wieferich NumbersA Counterexample to the Eventual Stability ConjectureSch\"affer's conjecture for even $k \le 42$A quaternary Diophantine inequality with prime numbers of a special form (II)A relative Schinzel-Zassenhaus bound for the polynomial $T^2 - 1$Short sums of the M\"obius function over function fieldsSubset sums of power values over Galois ringsOn a conjecture of VelaniHecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are $p$-adically Nowhere DenseThe Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ SymmetriesZeros of quadratic Dirichlet $L$-functionsConstruction of Galois modules describing ideal class groups and applications to Iwasawa theoryMixed sums of infinite multiple zeta-star values with restricted indicesStatistics of entries of matrices from the general linear group over a finite fieldIdeal class groups of certain real quadratic number fields and factorizations of values of certain quadratic polynomialsComputing Theta Characteristics and their Galois action on general curves of moderate genusThe exceptional set of Goldbach numbers within the set of squaresResidue Sums Modulo Products of Two Distinct Odd PrimesPerturbing the Conway sequenceOn the Gauss sphere problemSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsInteger symplectic matrices in expanding boxesIntegral trace forms of cyclic number fields without tamenessOn the notion of reasonable functions in Cohen--Lenstra type heuristicsSquarefree values of random polynomials are Gaussian mixturesA Sharp Bound for Additive ComplementsZeros of $E_2$, quasi-periods, and Schwarz mapsSupport periods of polynomials and support-primitive decomposition of constacyclic codes over Galois ringsLocal Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomyHomological branching laws for $p$-adic and mod $p$ representations of ${\rm GL}_2$ over a $p$-adic fieldHigher rank spectral projector estimates and a Stein--Tomas restriction theoremOn Almost MDS codes holding $(n-k-1)$-designs and an open problem on Witt designSolutions of $x^\alpha+y^\alpha=1$ in $\lambda$-Cantor setsLinear Complementary Pairs of MDS Codes from Elliptic CurvesPainlev\'e representations for joint moments of characteristic polynomials from the orthogonal and unitary symplectic groups