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arXiv · 0909.3002

On the regulator of Fermat motives and generalized hypergeometric functions

Noriyuki Otsubo
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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.

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Noriyuki Otsubo. 2009-09-16. On the regulator of Fermat motives and generalized hypergeometric functions. https://arxiv.org/abs/0909.3002

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