English

On the regulator of Fermat motives and generalized hypergeometric functions

Number Theory 2009-09-17 v1 Algebraic Geometry

Abstract

We calculate the Beilinson regulators of motives associated to Fermat curves and express them by special values of generalized hypergeometric functions. As a result, we obtain surjectivity results of the regulator, which support the Beilinson conjecture on special values of L-functions.

Keywords

Cite

@article{arxiv.0909.3002,
  title  = {On the regulator of Fermat motives and generalized hypergeometric functions},
  author = {Noriyuki Otsubo},
  journal= {arXiv preprint arXiv:0909.3002},
  year   = {2009}
}