James Maynard

activity

20122026

most citedNew large value estimates for Dirichlet polynomials

4 citations · 8 across the 7 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.NT2024

On the theory of prime producing sieves

Kevin Ford, James Maynard

We develop the foundations of a general framework for producing optimal upper and lower bounds on the sum $\sum_{p} a_{p}$ over primes $p$ , where $(a_{n})_{x /2 < n \leq x}$ is an arbitrary n…

math.NT2024★ 4 cited

New large value estimates for Dirichlet polynomials

Larry Guth, James Maynard

We prove new bounds for how often Dirichlet polynomials can take large values. This gives improved estimates for a Dirichlet polynomial of length $N$ taking values of size close to…

math.NT2024

An almost sharp quantitative version of the Duffin-Schaeffer conjecture

Dimitris Koukoulopoulos, James Maynard, Daodao Yang

We prove a quantitative version of the Duffin-Schaeffer conjecture with an almost sharp error term. Precisely, let $ψ : N \to [0, 1/2]$ be a function such that the series $\sum…