Ali Mohammadi

activity

20172026

most citedOn the constant roll complex scalar field inflationary models

10 citations · 19 across the 11 of their papers we have counts for

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math.NT2026

Bilinear Kloosterman sums over small boxes and uniformity of a random walk

Ali Mohammadi

Given an additive character $ψ$ of an arbitrary finite field $F_{p^{n}}$ and elements $a, b \in F_{p^{n}}$ , $b \neq = 0$ , we prove a bound on bilinear Kloosterman sums $\s…

math.NT2022

Product of sets on varieties in finite fields

Che-Jui Chang, Ali Mohammadi, Thang Pham +1

Let $V$ be a variety in $F_{q}^{d}$ and $E \subset V$ . It is known that if any line passing through the origin contains a bounded number of points from $E$ , then $|\prod(E)|=|\…

math.NT2018

On growth of the set $A (A + 1)$ in arbitrary finite fields

Ali Mohammadi

Let $F_{q}$ be a finite field of order $q$ , where $q$ is a power of a prime. For a set $A \subset F_{q}$ , under certain structural restrictions, we prove a new explic…

math.NT2018

Points on polynomial curves in small boxes modulo an integer

Bryce Kerr, Ali Mohammadi

Given an integer $q$ and a polynomial $f \in Z_{q} [X]$ of degree $d$ with coefficients in the residue ring $Z_{q} = Z / q Z,$ we obtain new results concerni…

math.NT2017★ 2 cited

Improved bounds on Gauss sums in arbitrary finite fields

Ali Mohammadi

Let $q$ be a power of a prime and let $F_{q}$ be the finite field consisting of $q$ elements. We establish new explicit estimates on Gauss sums of the form $S_n(a) = \sum_{x…

Bilinear Kloosterman sums over small boxes and uniformity of a random walk

Product of sets on varieties in finite fields

On growth of the set A(A+1) in arbitrary finite fields

Points on polynomial curves in small boxes modulo an integer

Improved bounds on Gauss sums in arbitrary finite fields

On growth of the set $A (A + 1)$ in arbitrary finite fields