L-function of CM elliptic curves and generalized hypergeometric functions

2023/09/03 by Nemoto, Yusuke
#19F27 #33C20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2309.01059

Abstract

In this paper, we express special values of the L-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch's element with Ross's element in the motivic cohomology group.

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