The action of Hecke operators on hypergeometric functions

Details The action of Hecke operators on hypergeometric functions The action of Hecke operators on hypergeometric functions

2008-08-27

arxiv.org/abs/0808.3615v1

Mathematics

Number Theory

Scientific paper

We study the action of Hecke operators on the set of hypergeometric
functions. We show that the spectrum of these operators is the set of powers
n^a and that polylogarithms play a dominant role in the study of the
corresponding eigenfunctions. As a corollary, we obtain a characterization of
completely multiplicative hypergeometric coefficients.

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