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Effective generation of Hecke algebras and explicit estimates of Sato--Tate type. (arXiv:2312.03021v1 [math.NT]) http://arxiv.org/abs/2312.03021

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

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.

arxiv.org
December 7, 2023 at 3:10 AM · · feed2toot · 0 · 0 · 0
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