English

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

Number Theory 2024-04-19 v2

Abstract

In this paper, we express special values of the LL-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.

Cite

@article{arxiv.2309.01059,
  title  = {$L$-function of CM elliptic curves and generalized hypergeometric functions},
  author = {Yusuke Nemoto},
  journal= {arXiv preprint arXiv:2309.01059},
  year   = {2024}
}

Comments

15 pages

R2 v1 2026-06-28T12:11:18.960Z