3 papers
math.NT2020
On the Joint Distribution of the Roots of Pairs of Polynomial Congruences
Sa'ar Zehavi
Let f(x) be a primitive irreducible polynomial with integer coefficients of degree greater than one. In 1964, Hooley showed that the sequence of normalized roots u/n, where f(u) =…
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 with integer coefficients of degree , the least common multiple of the sequence $f(1)…
math.CO2017
Not Conway's 99-Graph Problem
Sa'ar Zehavi, Ivo Fagundes David de Olivera
Conway's 99-graph problem is the second problem amongst the five 1000$ 2017 open problems set. Four out of the five remain unsolved to this day, including the 99-graph problem. In…