格子とモジュラーとp進と組合せ - 2026/10/14の論文117本

arXiv math.NTの新着論文117本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-14/ Counting quaternion extensions by multi-heights Geometric bounds on norms of signed indecomposable integers Wendt's determinant and finiteness of prime characteristics for permutation binomials Linking numbers and special differential characters in arithmetic hyperbolic manifolds Some applications of the quasi-Riemann hypothesis to class groups and small generators of number fields On Permutations Whose Adjacent-Sum Reciprocals Sum to One A Combinatorial Proof of Partition Identities for the Number of Distinct Part Sizes Untrodden pathways in the study of partitions with parts separated by parity Higher rank elliptic sieve via CM endomorphisms Counting matrices with given characteristic polynomial A certified classical-strip comparison for the de Bruijn-Newman constant On Berndt-Straub conjectures about zeros of generalized Ramanujan polynomials A generating function identity for finite and symmetric multiple zeta values via Dougall's bilateral ${}_2H_2$ summation Fine structure of even Galois deformation rings A recurrence in logarithmic M\"obius sums with coprimality conditions via Euler--Maclaurin Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators A sharp lower bound for the sextic large sieve Simultaneously preperiodic points and colliding orbits for families of polynomials in characteristic $p$ The local structure of refined class groups in cyclotomic Iwasawa theory Roth's theorem on weighted projective lines Proofs of four Takigiku--Tsuchioka conjectures on level $2$ principal characters of $A_{2\ell-1}^{(2)}$ Multidimensional Szemer\'edi Theorem for Pairwise Independent Jointly Intersective Polynomials Proof of a nonnegativity conjecture of Prellberg--Stanton Integral trace duality and the Witt filtration on Lubin--Tate space Moduli descriptions of v-sheaf local models Hyperelliptic curves on $K3$ surfaces Higher derivatives of the Gram function Arithmetic jet spaces and the unramified Zilber--Pink conjecture for subvarieties of abelian varieties Denominators in the Farey Sequence, the Stern Sequence, and the Frobenius Problem with Relatively Prime Multipliers </