The action of Hecke operators on hypergeometric functions

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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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Number Theory, Classical Analysis and ODEs, 11F25, 33C05

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http://salesiana.dossiersoluciones.com/handle/123456789/167795

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.3615
 http://arxiv.org/abs/0808.3615

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arXiv