2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167795We 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.Number TheoryClassical Analysis and ODEs11F25, 33C05text