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

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Showing 2019 · math.NTShow all

3 papers · 2 filters

math.NT2019★ 3 cited

A lower bound on the LCM of polynomial sequences

James Maynard, Zeev Rudnick

Let $f$ be a polynomial $f$ of degree $d \geq 2$ with integer coefficients which is irreducible over the rationals. Cilleruelo conjectured that the least common multiple of the value…

math.NT2019

Gaussian primes in almost all narrow sectors

Bingrong Huang, Jianya Liu, Zeév Rudnick

We study Gaussian primes lying in narrow sectors, and show that almost all such sectors contain the expected number of primes, if the sectors are not too narrow.

math.NT2019

On Cilleruelo's conjecture for the least common multiple of polynomial sequences

Zeév Rudnick, Sa'ar Zehavi

A conjecture due to Cilleruelo states that for an irreducible polynomial $f$ with integer coefficients of degree $d \geq 2$ , the least common multiple $L_{f} (N)$ of the sequence $f(1)…