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Abstract: We study the action of Hecke operators on the set of hypergeometricfunctions. We show that the spectrum of these operators is the set of powersn^a and that polylogarithms play a dominant role in the study of thecorresponding eigenfunctions. As a corollary, we obtain a characterization ofcompletely multiplicative hypergeometric coefficients.



Author: Victor H. Moll, Sinai Robins, K. Soodhalter

Source: https://arxiv.org/







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