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We express the contribution of certain maximal parabolic Eisenstein series to the spectral side of the Arthur--Selberg trace formula for GL (n) in terms of zeroes of Rankin--Selberg L-functions, generalizing previous results for GL (2) and Hecke L-functions. As applications, we prove a lower bound for the sum of these zeroes, and a base change relation between the zeroes in the case n=2 for cyclic extensions of prime degree.
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Tian An Wong (Sun,) studied this question.
synapsesocial.com/papers/68e6b802b6db64358763956b — DOI: https://doi.org/10.48550/arxiv.2405.02998
Tian An Wong
University of Michigan–Dearborn
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