Masoud Zargar

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20172024

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math.NT2022

Random flat bundles and equidistribution

Masoud Zargar

Each signature $λ (n) = (λ_{1} (n), \dots, λ_{n} (n))$ , where $λ_{1} (n) \geq \dots \geq λ_{n} (n)$ are integers, gives an irreducible representation $π_{\underlineλ(n)}:U(n)\rightarrow\text{…

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…

Random flat bundles and equidistribution

Ramanujan graphs and exponential sums over function fields

Optimal strong approximation for quadrics over Fq​[t]

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