James Maynard

most citedOn the Twin Prime Conjecture

3 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2019★ 3 cited

On the Twin Prime Conjecture

James Maynard

We discuss various recent advances on weak forms of the Twin Prime Conjecture.

math.NT2019★ 1 cited

Gaps between primes

James Maynard

We discuss recent advances on weak forms of the Prime $k$ -tuple Conjecture, and its role in proving new estimates for the existence of small gaps between primes and the existence o…

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.NT2012

Let $k \geq 2$ and $Π (n) = \prod_{i = 1}^{k} (a_{i} n + b_{i})$ for some integers $a_{i}, b_{i}$ ( $1 \leq i \leq k$ ). Suppose that $Π (n)$ has no fixed prime divisors. Weighted sieves have shown for infini…

On the Twin Prime Conjecture

Gaps between primes

A lower bound on the LCM of polynomial sequences

Almost-prime k-tuples

Almost-prime $k$ -tuples