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23 January 2025

» arxiv » 2309.00243

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On the Rankin-Selberg $L$-function related to the Godement-Jacquet $L$-function II
Amrinder Kaur ; Ayyadurai Sankaranarayanan ;
Date:	1 Sep 2023
Abstract:	In this paper, we consider the $k$-th Riesz mean for the coefficients of the Rankin-Selberg $L$-function $L_{f imes f}(s)$ related to the Godement-Jacquet $L$-function with respect to $SL(n,mathbb{Z})$. We establish an asymptotic formula for the $k$-th Riesz mean with an improved range and a better error term. As a result, we get an asymptotic relation for the partial sum of the coefficients of $L_{f imes f}(s)$.
Source:	arXiv, 2309.00243
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