Analysis reveals hybrid subconvex bounds for Hecke and twisted L-functions, indicating advancements in nonvanishing results.
We employ a regularized relative trace formula to establish a second moment estimate for twisted L L -functions across all aspects over a number field. Our results yield hybrid subconvex bounds for both Hecke L L -functions and twisted L L -functions, comparable to the Weyl bound in suitable ranges. Moreover, we present an application of our results to the simultaneous nonvanishing problem.
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Liyang Yang (2025) studied this question.
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