$L$-function of CM elliptic curves and generalized hypergeometric functions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- arXiv:
- arXiv:2309.01059
- Bibcode:
- 2023arXiv230901059N
- Keywords:
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- Mathematics - Number Theory;
- 19F27;
- 33C20
- E-Print:
- 15 pages