Asif Zaman

activity

20152022

most citedAn explicit bound for the least prime ideal in the Chebotarev density theorem

31 citations · 167 across the 19 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 5 cited

Primes represented by positive definite binary quadratic forms

Asif Zaman

Let $f$ be a primitive positive definite integral binary quadratic form of discriminant $- D$ and let $π_{f} (x)$ be the number of primes up to $x$ which are represented by $f$ . We pro…

math.NT2017

The Density of Numbers Represented by Diagonal Forms of Large Degree

Brandon Hanson, Asif Zaman

Let $s \geq 3$ be a fixed positive integer and $a_{1}, \dots, a_{s} \in Z$ be arbitrary. We show that, on average over $k$ , the density of numbers represented by the degree $k$ …

math.NT2017

The least unramified prime which does not split completely

Asif Zaman

Let $K / F$ be a finite extension of number fields of degree $n \geq 2$ . We establish effective field-uniform unconditional upper bounds for the least norm of a prime ideal of $F$ wh…