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math.NT2021
Mean values of long Dirichlet polynomials with higher divisor coefficients
Alia Hamieh, Nathan Ng
In this article, we prove an asymptotic formula for mean values of long Dirichlet polynomials with higher order shifted divisor functions, assuming a smoothed additive divisor conj…
math.NT2021
Two dimensional value-distribution of cubic Hecke -functions
Amir Akbary, Alia Hamieh
We establish the two-dimensional asymptotic distributions of the logarithm and logarithmic derivative of -functions associated with a family of cubic Hecke characters. A crucial…