English

$p$-adic L-functions and Classical Congruences

Number Theory 2018-04-24 v1

Abstract

In this paper, using pp-adic analysis and pp-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 pkp^k for any k>0k>0.

Keywords

Cite

@article{arxiv.1804.07929,
  title  = {$p$-adic L-functions and Classical Congruences},
  author = {Xianzu Lin},
  journal= {arXiv preprint arXiv:1804.07929},
  year   = {2018}
}

Comments

20pages, comments welcomes

R2 v1 2026-06-23T01:30:57.090Z