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math.NT2014★ 9 cited
Simultaneous nonvanishing of Dirichlet -functions and twists of Hecke-Maass L-functions
Soumya Das, Rizwanur Khan
We prove that given a Hecke-Maass form for and a sufficiently large prime , there exists a primitive Dirichlet character of conductor such…
math.NT2014
A mean value of a triple product of -functions
Jack Buttcane, Rizwanur Khan
Luo has proven an optimal upper bound for the -norm of dihedral Maass forms of large eigenvalue, by bounding a mean value of triple product -functions. Motivated by this re…