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.


Volume: Volume 45 - 2022
Published on: February 6, 2023
Imported on: December 28, 2022
Keywords: 11F30, 11N75, [MATH]Mathematics [math], [en] Godement-Jacquet L-function, Rudnick-Sarnak conjecture, Hecke-Maass form, Riemann Hypothesis
Funding:
    Source : OpenAIRE Graph
  • Deep Drug Discovery and Deployment; Funder: Fundação para a Ciência e a Tecnologia, I.P.; Code: PTDC/CCI-BIO/29266/2017

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