Integral mean square estimation for the error term related to ∑ < inf > n≤x < /inf > λ < sup > 2 < /sup > (n < sup > 2 < /sup > )
Integral mean square estimation for the error term related to ∑ < inf > n≤x < /inf > λ < sup > 2 < /sup > (n < sup > 2 < /sup > )
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Date
2015-10-29
Authors
Lao, Hui Xue
Sankaranarayanan, Ayyadurai
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Abstract
Let λf(n) be the n-th normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) ∈ Sk(Γ). We establish that, for any ɛ > 0, (Formula presented.) which improves previous results.
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Keywords
holomorphic cusp forms,
Rankin-Selberg L-function,
symmetric power L-function
Citation
Science China Mathematics. v.58(10)