Truncated versions of Dwork's lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions

DOI10.1016/j.aim.2015.05.018zbMath1395.13022arXiv1412.7014OpenAlexW2963100022WikidataQ124962327 ScholiaQ124962327MaRDI QIDQ2517229

Thomas W. Müller, Christian Krattenthaler

Publication date: 17 August 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7014

zbMATH Keywords

supercongruencesfinite abelian \(p\)-groupsKostka-Foulkes polynomialsubgroup numbersdivisibility by prime powersexponential of power series

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Finite abelian groups (20K01) Formal power series rings (13F25)

Related Items (4)

\(p\)-adic estimates of the number of permutation representations ⋮ 2-adic properties of the numbers of representations in wreath products ⋮ 2-adic properties for the numbers of representations in the alternating groups ⋮ \(p\)-divisibility of the number of linear representations of an abelian \(p\)-group

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