3 papers
math.NT2019
On the linear twist of degree 1 functions in the extended Selberg class
Giamila Zaghloul
Given a degree 1 function and a real number , we consider the linear twist , proving that it satisfies a functional equation reflecting in…
math.NT2018
A note on the zeros of generalized Hurwitz zeta functions
Giamila Zaghloul
Given a function periodic of period and an irrational number , Chatterjee and Gun proved that the series $F(s,f,α)=\sum_{n=0}^{\infty}\frac{f(n)}{(n+α)^…
math.NT2018
Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms
Giamila Zaghloul
In this work we prove a prime number type theorem involving the normalised Fourier coefficients of holomorphic and Maass cusp forms, using the classical circle method. A key point…