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On discrete mean value of automorphic L-functions

By: Contributor(s): Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 377-387pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: Let f be any normalized Hecke eigen forms with even integral weight for the full modular group , and be a primitive Dirichlet character modulo q. Let be the automorphic L-function attached to f and . In this paper, we study the mean-square estimate of weighted by incomplete character sums, via using properties of Fourier coefficients and analytic methods, and establish an asymptotic formula which refines the previous results.
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Let f be any normalized Hecke eigen forms with even integral weight for the full modular group , and be a primitive Dirichlet character modulo q. Let be the automorphic L-function attached to f and . In this paper, we study the mean-square estimate of weighted by incomplete character sums, via using properties of Fourier coefficients and analytic methods, and establish an asymptotic formula which refines the previous results.

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