A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\)

DOI10.14492/hokmj/1351001078zbMath0930.11084OpenAlexW2073626008MaRDI QIDQ1288003

Hiroyuki Ochiai

Publication date: 18 July 1999

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351001078

zbMATH Keywords

exponential functionTaylor coefficients\(p\)-adic absolute value

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Non-Archimedean function theory (30G06)

Related Items (9)

On some properties of the number of permutations being products of pairwise disjoint \(d\)-cycles ⋮ \(p\)-adic estimates of the number of permutation representations ⋮ A combinatorial approach to the power of 2 in the number of involutions ⋮ 2-adic properties for the numbers of representations in the alternating groups ⋮ Truncated versions of Dwork's lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions ⋮ The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II) ⋮ 2-adic properties for the numbers of involutions in the alternating groups ⋮ Parity patterns associated with lifts of Hecke groups. ⋮ \(p\)-divisibility of the number of linear representations of an abelian \(p\)-group

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