Z. Rudnick

activity

19992026

most citedThe distribution of spacings between the fractional parts of

n^{2} α

108 citations · 814 across the 70 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017★ 9 cited

A metric theory of minimal gaps

Zeév Rudnick

We study the minimal gap statistic for fractional parts of sequences of the form $A^{α} = {α a (n)}$ where $A = {a (n)}$ is a sequence of distinct of integers. Assu…

math.NT2017

Angles of Gaussian primes

Zeév Rudnick, Ezra Waxman

Fermat showed that every prime p = 1 mod 4 is a sum of two squares: $p = a^{2} + b^{2}$ . To any of the 8 possible representations (a,b) we associate an angle whose tangent is the ratio…