Explicit formulas and vanishing conditions for certain coefficients of Drinfeld-Goss Hecke eigenforms

El-Guindy, Ahmad

doi:10.1090/proc/14109

Explicit formulas and vanishing conditions for certain coefficients of Drinfeld-Goss Hecke eigenforms
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Proc. Amer. Math. Soc. 146 (2018), 4127-4137 Request permission

Abstract:

We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results for an infinite family of those coefficients.

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