THE LAZARD FORMAL GROUP, UNIVERSAL CONGRUENCES AND SPECIAL VALUES OF ZETA FUNCTIONS

被引：9

作者：

Tempesta, Piergiulio ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, Fac Fis, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] Inst Ciencias Matemat, Madrid 28049, Spain

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 10期

关键词：

KUMMER CONGRUENCES; BERNOULLI NUMBERS; GROUP LAWS; POLYNOMIALS;

D O I：

10.1090/tran/6234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 (based on earlier works of the author). Their role in the theory of L-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.

引用

页码：7015 / 7028

页数：14

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