English

Kummer's Original Type Congruence Relation for the Universal Bernoulli Numbers

Number Theory 2007-05-23 v2

Abstract

In this paper we give Kummer's original type congruence relation modulo a prime power for the universal Bernoulli numbers. Although the index of the power is half of original congruence, this estimate is best possible.

Cite

@article{arxiv.math/0312178,
  title  = {Kummer's Original Type Congruence Relation for the Universal Bernoulli Numbers},
  author = {Yoshihiro Ônishi},
  journal= {arXiv preprint arXiv:math/0312178},
  year   = {2007}
}

Comments

AMS-TeX, 14 pages. Errors in the first version were corrected