Naser T. Sardari

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20152026

most citedOptimal strong approximation for quadratic forms

19 citations · 40 across the 17 of their papers we have counts for

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Showing 2019 · math.NTShow all

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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

Optimal strong approximation for quadrics over $F_{q} [t]$

Naser T. Sardari, Masoud Zargar

Suppose $q$ is a fixed odd prime power, $F (x)$ is a non-degenerate quadratic form over $F_{q} [t]$ of discriminant $Δ$ in $d \geq 5$ variables $x$ , and $f,g\in\mat…

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…

Ramanujan graphs and exponential sums over function fields

Optimal strong approximation for quadrics over Fq​[t]

The Siegel variance formula for quadratic forms

Optimal strong approximation for quadrics over $F_{q} [t]$