Naser T. Sardari

activity

20172021

most citedThe Siegel variance formula for quadratic forms

4 citations · 4 across the 1 of their papers we have counts for

collaborators

9 papers

math.NT2021

Higher Fourier interpolation on the plane

Naser Talebizadeh Sardari

Let $l \geq 6$ be any integer, where $l \equiv 2$ mod $4$ . Suppose that $μ (τ) d τ$ is a measure with bounded variation and is supported on a compact subset of the complex plane, where…

math.NT2019

Ramanujan graphs and exponential sums over function fields

Naser T. Sardari, Masoud Zargar

We prove that $q + 1$ -regular Morgenstern Ramanujan graphs $X^{q, g}$ (depending on $g \in F_{q} [t]$ ) have diameter at most $\left(\frac{4}{3}+\varepsilon\right)\log_{q}|X^{q,g}|…

math.NT2019★ 4 cited

The Siegel variance formula for quadratic forms

Naser T. Sardari

We introduce a smooth variance sum associated to a pair of positive definite symmetric integral matrices $A_{m \times m}$ and $B_{n \times n}$ , where $m \geq n$ . By using the oscillat…

math.NT2018

The diophantine exponent of the $Z / q Z$ points of $S^{d - 2} \subset S^{d}$

Mostafa W. Hassan, Yuchen Mao, Naser T. Sardari +2

Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d \geq 3,$ and $q$ and $p$ are prime numbers, where $p \leq q^{A}$ for some $A > 0$ . We develop a polyn…

math.NT2018

Bounds on the multiplicity of the Hecke eigenvalues

Naser T. Sardari

Fix an integer $N$ and a prime $p ∤ N$ where $p \geq 5$ . We show that the number of newforms $f$ (up to a scalar multiple) of level $N$ and even weight $k$ such that $\mathcal{T}…

math.NT2018

The least prime number represented by a binary quadratic form

Naser T. Sardari

Let $D < 0$ be a fundamental discriminant and $h (D)$ be the class number of $Q (D)$ . Let $R (X, D)$ be the number of classes of the binary quadratic forms of discriminan…

Higher Fourier interpolation on the plane

Ramanujan graphs and exponential sums over function fields

The Siegel variance formula for quadratic forms

The diophantine exponent of the Z/qZ points of Sd−2⊂Sd

Bounds on the multiplicity of the Hecke eigenvalues

The least prime number represented by a binary quadratic form

The diophantine exponent of the $Z / q Z$ points of $S^{d - 2} \subset S^{d}$