On the regulator of Fermat motives and generalized hypergeometric functions

Mathematics – Number Theory

Scientific paper

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Scientific paper

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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