On Riesz means of the coefficients of the Rankin–Selberg series

DOI10.1017/S0305004199003564zbMath0958.11065MaRDI QIDQ4264418

Yoshio Tanigawa, Kohji Matsumoto, Aleksandar Ivić

Publication date: 24 October 1999

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Riesz meansRankin-Selberg series

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (8)

ON THE RANKIN–SELBERG ZETA FUNCTION ⋮ Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms ⋮ Higher power moments of the Riesz mean error term of symmetric square \(L\)-function ⋮ On mean values of some zeta-functions in the critical strip. ⋮ On a sum involving Fourier coefficients of cusp forms ⋮ On the Rankin-Selberg problem: higher power moments of the Riesz mean error term ⋮ Mean value theorems for automorphic $L$-functions ⋮ On the differences between two kinds of mean value formulas of number-theoretic error terms

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