A. J. Irving

most citedEstimates for character sums and Dirichlet

L

-functions to smooth moduli

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

collaborators

3 papers

math.NT2015

Bounded intervals containing many primes

R. C. Baker, A. J. Irving

By combining a sieve method of Harman with the work of Maynard and Tao we show that $n \to \infty lim inf (p_{n + m} - p_{n}) ≪ exp (3.815 m) .$

math.NT2015★ 3 cited

Estimates for character sums and Dirichlet $L$ -functions to smooth moduli

A. J. Irving

We use the $q$ -analogue of van der Corput's method to estimate short character sums to smooth moduli. If $χ$ is a primitive Dirichlet character modulo a squarefree, $q^{δ}$ -smooth in…

math.NT2013★ 1 cited

Average Bounds for Kloosterman Sums Over Primes

A. J. Irving

We prove two estimates for averages of sums of Kloosterman fractions over primes. The first of these improves previous results of Fouvry-Shparlinski and Baker.

Bounded intervals containing many primes

Estimates for character sums and Dirichlet L-functions to smooth moduli

Average Bounds for Kloosterman Sums Over Primes

Estimates for character sums and Dirichlet $L$ -functions to smooth moduli