Work

$L$-function of CM elliptic curves and generalized hypergeometric functions

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2309.01059

Author: Nemoto, Yusuke

Institution: Chiba University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Waseda University

OpenAlex ID: W4386501190

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