Godement-Jacquet L-function, some conjectures and some consequences

Amrinder Kaur; Ayyadurai Sankaranarayanan

doi:10.46298/hrj.2023.10747

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

1 University of Hyderabad

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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Source : OpenAIRE Graph

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