p$-adic L-functions and Classical Congruences

In this paper, using $p$-adic analysis and $p$-adic L-functions, we show how to extend classical congruences (due to Wilson, Gauss, Dirichlet, Jacobi, Wolstenholme, Glaisher, Morley, Lemher and other people) to modulo $p^k$ for any $k>0$.

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Bibliographic Details
Main Author Lin, Xianzu
Format Journal Article
LanguageEnglish
Published 21.04.2018
Subjects
Mathematics - Number Theory
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Summary:In this paper, using $p$-adic analysis and $p$-adic L-functions, we show how to extend classical congruences (due to Wilson, Gauss, Dirichlet, Jacobi, Wolstenholme, Glaisher, Morley, Lemher and other people) to modulo $p^k$ for any $k>0$.
DOI:10.48550/arxiv.1804.07929