Naser T. Sardari

activity

20152026

most citedOptimal strong approximation for quadratic forms

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

collaborators

Showing 2018Show all

5 papers · 1 filter

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★ 2 cited

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★ 2 cited

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…

math.NT2018

The Cramér conjecture holds with a positive probability

Naser T. Sardari

We prove that a positive proportion of the intervals of any fixed scalar multiple of $lo g (X)$ in the dyadic interval $[X, 2 X]$ contain a prime number. We also show that a positive…

math.NT2018

The least prime ideal in a given ideal class

Naser T. Sardari

Let $K$ be a number field with the discriminant $D_{K}$ and the class number $h_{K}$ , which has bounded degree over $Q$ . By assuming GRH, we prove that every ideal class of…

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 Cramér conjecture holds with a positive probability

The least prime ideal in a given ideal class

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