Victor H. Moll, Sinai Robins, K. Soodhalter
Published 2008-08-27Version 1
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.
The action of Hecke operators on hypergeometric functions
On the average size of the eigenvalues of the Hecke operators
Hecke operators on period functions for $Γ_0(n)$
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