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math.NT2021
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).…
math.NT2021
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…
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…