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math.NT2025
Traces of Hecke Operators via Hypergeometric Character Sums
Jerome W. Hoffman, Wen-Ching Winnie Li, Ling Long +1
In this paper we obtain explicit formulas for the traces of Hecke operators on spaces of cusp forms in certain instances related to arithmetic triangle groups. These expressions ar…
math.NT2024
QM abelian varieties, hypergeometric character sums and modular forms
Jerome William Hoffman, Fang-Ting Tu
This is a report on recent work, with Wen-Ching Winnie Li and Ling Long. In that work explicit formulas are given, involving hypergeometric character sums, for the traces of Hecke…