Abstract
We consider the k-th Riesz mean for the coefficients of the Rankin–Selberg L-function related to the Godement–Jacquet L-function with respect to \(SL(n,\mathbb{Z})\) and establish an asymptotic formula with a good error term for \(k \geq k_0(n)\) where \(k_0(n)\) is a positive integer depending only on n.
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The authors are thankful to the anonymous referee for some fruitful comments.
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The first author is thankful to UGC for its supporting NET Senior Research Fellowship with UGC Ref. No. 1004/(CSIR–UGC NET Dec. 2017).
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Kaur, A., Sankaranarayanan, A. On the Rankin–Selberg L-function related to the Godement–Jacquet L-function. Acta Math. Hungar. 169, 88–107 (2023). https://doi.org/10.1007/s10474-023-01296-9
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DOI: https://doi.org/10.1007/s10474-023-01296-9