Combinatorial Congruences and $\psi$-Operators

Daqing Wan

Combinatorial Congruences and $\psi$-Operators

数论 2007-05-23 v2 组合数学

作者: Daqing Wan

摘要

The $\psi$ -operator for $(\phi, \Gamma)$ -modules plays an important role in the study of Iwasawa theory via Fontaine's big rings. In this note, we prove several sharp estimates for the $\psi$ -operator in the cyclotomic case. These estimates immediately imply a number of sharp $p$ -adic combinatorial congruences, one of which extends the classical congruences of Fleck (1913) and Weisman (1977).

引用

@article{arxiv.math/0508159,
  title  = {Combinatorial Congruences and $\psi$-Operators},
  author = {Daqing Wan},
  journal= {arXiv preprint arXiv:math/0508159},
  year   = {2007}
}

备注

11 pages

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