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On the regulator of Fermat motives and generalized hypergeometric functions
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Noriyuki Otsubo
Published/Copyright:
May 5, 2011
Abstract
We calculate the Beilinson regulator 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.
Received: 2009-09-07
Revised: 2010-04-12
Published Online: 2011-05-05
Published in Print: 2011-November
© Walter de Gruyter Berlin · New York 2011
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Articles in the same Issue
- Serre weights for mod p Hilbert modular forms: the totally ramified case
- On the regulator of Fermat motives and generalized hypergeometric functions
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A continuum version of the Kunz–Souillard approach to localization in one dimension
- The Bohr radius of the unit ball of
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- The rigidity of embedded constant mean curvature surfaces
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