MersenneとIwasawaとDrinfeldとAI - 2026/3/11の論文15本

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-11/Divisor Structure of p-1 in Mersenne Prime ExponentsIwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number FieldsFrobenius structure on rigid connections and arithmetic applicationsOn the Green-Tao theorem for sparse setsOn a cyclic structure of generators modulo primesOn autoduality of Drinfeld modules and Drinfeld modular formsMurmurations: a case study in AI-assisted mathematicsThe Flint Hills Series, Mixed Tate Motives, and a Criterion for the Irrationality Measure of $\pi$The unstable complex in Bruhat-Tits buildings for arithmetic groups over function fieldsAntisymmetry of real quadratic singular moduliThe SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structuresThe Hofstadter consecutive-sum sequence omits infinitely many positive integersCycles on splitting models of Shimura varietiesOn the height boundedness of periodic and preperiodic points of dominant rational self-maps on projective varietiesOn the Existence of Algebraic Equiangular Lines