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math.NT2025
Short Second Moment Bound for GL(2) -functions in -Aspect
Agniva Dasgupta
We prove a Lindelöf-on-average upper bound for the second moment of the -functions associated to a level 1 holomorphic cusp form, twisted along a coset of subgroup of the chara…
math.NT2024
The second moment of the standard -function on the critical line
Agniva Dasgupta, Wing Hong Leung, Matthew P. Young
We obtain a strong bound on the second moment of the standard -function on the critical line. The method builds on the recent work of Aggarwal, Leung, and Munshi which tr…