Generalized Kummer congruences and $p$-adic families of motives

Alexei A. Panchishkin

Generalized Kummer congruences and $p$-adic families of motives

Number Theory 2016-09-06 v1

Authors: Alexei A. Panchishkin

Abstract

We describe some new general constructions of $p$ -adic $L$ -functions attached to certain arithmetically defined complex $L$ -functions coming from motives over $\bold Q$ with coefficiens in a number field $T$ , with $[T:\bold Q]<\infty$ . These constructions are equivalent to proving some generalized Kummer congruences for critical special values of these complex $L$ -functions.

Keywords

p-adic l-functions kummer congruences motives special values number fields

Cite

@article{arxiv.math/9503218,
  title  = {Generalized Kummer congruences and $p$-adic families of motives},
  author = {Alexei A. Panchishkin},
  journal= {arXiv preprint arXiv:math/9503218},
  year   = {2016}
}

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