q級数とp進数と関数体と篩法 - 2026/5/29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/2026-05-29/On Ramanujan's $q$-Continued Fractions of Order Thirty-Four and Sixty-EightAsymptotic formulas for sums of elements from a multiplicative groupOn a conjecture of GoldmakherMersenne numbers and the doubling mapWeierstrass semigroups at totally ramified places of degree one on linearized function fieldsOn the power of the discriminant of a univariate polynomial as a certain determinant in positive characteristicInducing Whittaker Functions from Higher RanksThe weighted large sieve through ParsevalIwasawa invariants of Bertolini--Darmon Theta ElementsCanonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varietiesBourgain's $L^2$ pointwise ergodic theorem over function fieldsSubsequence Sums in PermutationsSuperspecial plane quintics with large automorphism groupsLift-independence problem in the $P$-adic Simpson correspondence for curvesA note on Azumaya algebras and one-forms