June 14, 2024Open Access

Simultaneous extreme values of zeta and L-functions

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Abstract

Abstract We show that distinct primitive L -functions can achieve extreme values simultaneously on the critical line. Our proof uses a modification of the resonance method and can be applied to establish simultaneous extreme central values of L -functions in families.

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Heap et al. (Fri,) studied this question.

synapsesocial.com/papers/68e64c4eb6db6435875dd3e4 https://doi.org/https://doi.org/10.1007/s00208-024-02892-y

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