Amir Akbary

activity

20152021

most citedThe Signs in Elliptic Nets

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2021

Sums of triangular numbers and sums of squares

Amir Akbary, Zafer Selcuk Aygin

For non-negative integers $a, b,$ and $n$ , let $N (a, b; n)$ be the number of representations of $n$ as a sum of squares with coefficients $1$ or $3$ ( $a$ of ones and $b$ of threes).…

math.NT2021

Fourier coefficients of automorphic $L$ -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 $L$ -functions and Rankin-Selberg $L$ -functions over number…

math.NT2021

Two dimensional value-distribution of cubic Hecke $L$ -functions

Amir Akbary, Alia Hamieh

We establish the two-dimensional asymptotic distributions of the logarithm and logarithmic derivative of $L$ -functions associated with a family of cubic Hecke characters. A crucial…

math.NT2019

On the moments of torsion points modulo primes and their applications

Amir Akbary, Peng-Jie Wong

Let $A [n]$ be the group of $n$ -torsion points of a commutative algebraic group $A$ defined over a number field $F$ . For a prime ideal $p$ , we let $N_{\…

math.NT2018

Euler's Function on Products of Primes in Progressions

Amir Akbary, Forrest J. Francis

We study generalizations of some results of Jean-Louis Nicolas regarding the relation between small values of Euler's function $φ (n)$ and the Riemann Hypothesis. Among other things…

math.NT2018

Value-distribution of cubic Hecke $L$ -functions

Amir Akbary, Alia Hamieh

Let $k = Q (- 3)$ , and let $c \in O_{k}$ be a square free algebraic integer such that $c \equiv 1 (mod ⟨ 9 ⟩)$ . Let $ζ_{k (c^{1/3})} (s)$ be the…

Sums of triangular numbers and sums of squares

Fourier coefficients of automorphic L-functions over primes in ray classes

Two dimensional value-distribution of cubic Hecke L-functions

On the moments of torsion points modulo primes and their applications

Euler's Function on Products of Primes in Progressions

Value-distribution of cubic Hecke L-functions

Fourier coefficients of automorphic $L$ -functions over primes in ray classes

Two dimensional value-distribution of cubic Hecke $L$ -functions

Value-distribution of cubic Hecke $L$ -functions