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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Main Author | |
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Format | Journal Article |
Language | English |
Published |
21.04.2018
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Subjects | |
Online Access | Get full text |
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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 |