Masoud Zargar

activity

20172024

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Showing 2019Show all

3 papers · 1 filter

math.AG2019

Riemannian structures and point-counting

Masoud Zargar

Suppose $(X_{n})$ is a sequence of positive-dimensional smooth projective complete intersections over $F_{q}$ with dimensions bounded from above and with characteristic zero l…

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…

Riemannian structures and point-counting

Ramanujan graphs and exponential sums over function fields

Optimal strong approximation for quadrics over Fq​[t]

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