An Application of the Power Residue Theory to Some Abelian Functions
- 1 February 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 27 (1) , 51-54
- https://doi.org/10.1017/s0027763000011843
Abstract
The aim of this paper is to point out a number-theoretical property of a certain product of values taken by an abelian function at points of finite order of the abelian variety on which the abelian function is considered We use the theory of power residues and the theory of complex multiplication, and the result is somewhat similar to the so-called Stickelberger’s relation in the theory of Gauss sums. A related investigation was previously made by the author in a special case of elliptic curves [2].Keywords
This publication has 1 reference indexed in Scilit:
- Reciprocities in Gauss' and Eisenstein's number fields.Journal für die reine und angewandte Mathematik (Crelles Journal), 1961