Amrinder Kaur ; Ayyadurai Sankaranarayanan - Godement-Jacquet L-function, some conjectures and some consequences

hrj:10747 - Hardy-Ramanujan Journal, February 6, 2023, Volume 45 - 2022 - https://doi.org/10.46298/hrj.2023.10747
Godement-Jacquet L-function, some conjectures and some consequencesArticle

Authors: Amrinder Kaur ; Ayyadurai Sankaranarayanan 1

In this paper, we investigate the mean square estimate for the logarithmic derivative of the Godement--Jacquet $L$-function $L_f(s)$ assuming the Riemann hypothesis for $L_f(s)$ and Rudnick--Sarnak conjecture.

https://doi.org/10.46298/hrj.2023.10747
Source: HAL:hal-03913477v1
Volume: Volume 45 - 2022
Published on: February 6, 2023
Imported on: December 28, 2022
Keywords: Godement-Jacquet L-function,Rudnick-Sarnak conjecture,Hecke-Maass form,Riemann Hypothesis,11F30, 11N75,[MATH]Mathematics [math]
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