Effective generation of Hecke algebras and explicit estimates of Sato--Tate type

2023/12/05 by Ben Moore, Moore, Ben
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2312.03021

openalex publication_date 2023/12/05 · openalex created_date 2023/12/08 · openalex updated_date 2026/07/28

Abstract

Assuming the Riemann hypothesis for L-functions attached to primitive Dirichlet characters, modular cusp forms, and their tensor products and symmetric squares, we write down explicit finite sets of Hecke operators that span the Hecke algebras acting on the spaces of modular forms of weight greater than two with squarefree level.

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