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- W2766455792 abstract "We give an upper bound for the trace of a Hecke operator acting on the space of holomorphic cusp forms with respect to certain congruence subgroups. Such an estimate has applications to the analytic theory of elliptic curves over a finite field, going beyond the Riemann hypothesis over finite fields. As the main tool to prove our bound on traces of Hecke operators, we develop a Petersson formula for newforms for general nebentype characters." @default.
- W2766455792 created "2017-11-10" @default.
- W2766455792 creator A5010507245 @default.
- W2766455792 date "2018-12-31" @default.
- W2766455792 modified "2023-09-25" @default.
- W2766455792 title "Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field" @default.
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- W2766455792 doi "https://doi.org/10.2140/ant.2018.12.2471" @default.
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