ON SOME MEAN SQUARE ESTIMATES IN THE RANKIN-SELBERG PROBLEM

ON SOME MEAN SQUARE ESTIMATES IN THE RANKIN-SELBERG PROBLEM

An overview of the classical Rankin-Selberg problem involving the asymptotic formula for sums of coefficients of holomorphic cusp forms is given. We also study the function ∆(x;ξ) (0 ≤ ξ ≤ 1), the error term in the Rankin-Selberg problem weighted by ξ-th power of the logarithm. Mean square estimates...

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Veröffentlicht in:Applicable analysis and discrete mathematics 2007-04, Vol.1 (1), p.111-121
1. Verfasser: Ivić, Aleksandar
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Mathematical constants
Mathematical functions
Mathematical integrals
Mean value theorems
Number theory
Polynomials
Series convergence
Tensors
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Zusammenfassung:An overview of the classical Rankin-Selberg problem involving the asymptotic formula for sums of coefficients of holomorphic cusp forms is given. We also study the function ∆(x;ξ) (0 ≤ ξ ≤ 1), the error term in the Rankin-Selberg problem weighted by ξ-th power of the logarithm. Mean square estimates for ∆(x; ξ) are proved.
ISSN:1452-8630
2406-100X