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Your search keyword '"Cusp form"' showing total 1 results
Start Over Descriptor "Cusp form" Search Limiters Peer Reviewed Topic fourier analysis Journal acta mathematica sinica
1 results on '"Cusp form"'

1. On the fourth power moment of Fourier coefficients of cusp form.

Author

Li, Jin Jiang, Wang, Pan Wang, and Zhang, Min

Subjects
*FOURIER analysis, *HOLOMORPHIC functions, *MATHEMATICAL formulas, *MATHEMATICAL constants, *INTEGERS
Abstract

Let a(n) be the Fourier coefficients of a holomorphic cusp form of weight κ = 2n ≥ 12 for the full modular group and A(x) = Ʃn≤xa(n). In this paper, we establish an asymptotic formula of the fourth power moment of A(x) and prove that ∫1TA4(x)dx=364κπ4s4;2(a˜)T2κ+O(T2κ−δ4+ε) with δ4 = 1/8, which improves the previous result. [ABSTRACT FROM AUTHOR]

Published
2018
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