The Lazard formal group, universal congruences and special values of zeta functions
Number Theory
2015-07-15 v2
Abstract
A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard universal formal group \cite{Tempesta1}-\cite{Tempesta3}. Their role in the theory of --genera for multiplicative sequences is illustrated. As an application, sequences of integer numbers are constructed. New congruences are also obtained, useful to compute special values of a new class of Riemann--Hurwitz--type zeta functions.
Keywords
Cite
@article{arxiv.1403.5458,
title = {The Lazard formal group, universal congruences and special values of zeta functions},
author = {Piergiulio Tempesta},
journal= {arXiv preprint arXiv:1403.5458},
year = {2015}
}
Comments
16 pages in Transactions of the American Mathematical Society, 2015