p-adic L-functions and Classical Congruences
classification
🧮 math.NT
keywords
adicclassicalcongruencesl-functionsanalysisdirichletextendgauss
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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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