2 citations · 4 across the 13 of their papers we have counts for
18 papers
Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients
Amir Akbary, Zafer Selcuk Aygin
Let be an even positive integer, be a prime and be a nonnegative integer. We find an upper bound for orders of zeros (at cusps) of a linear combination of classical Eis…
Constants for Artin like problems in Kummer and division fields
Amir Akbary, Milad Fakhari
We apply the character sums method of Lenstra, Moree, and Stevenhagen, to explicitly compute the constants in the Titchmarsh divisor problem for Kummer fields and for division fiel…
Value-Distribution of Logarithmic Derivatives of Quadratic Twists of Automorphic -functions
Amir Akbary, Alia Hamieh
Let , and let be a fixed cuspidal automorphic representation of with unitary central character. We determine the limi…
Sums of triangular numbers and sums of squares
Amir Akbary, Zafer Selcuk Aygin
For non-negative integers and , let be the number of representations of as a sum of squares with coefficients or ( of ones and of threes).…
Fourier coefficients of automorphic -functions over primes in ray classes
Amir Akbary, Peng-Jie Wong
We prove Siegel-Walfisz type theorems (over long and short intervals) for the Fourier coefficients of certain automorphic -functions and Rankin-Selberg -functions over number…
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…