On discrete mean value of automorphic L-functions
Chen, Yu
On discrete mean value of automorphic L-functions - Vol.55(1), Mar - New Delhi Springer 2024 - 377-387p.
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.
Humanities and Applied Sciences
On discrete mean value of automorphic L-functions - Vol.55(1), Mar - New Delhi Springer 2024 - 377-387p.
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.
Humanities and Applied Sciences