A. J. Irving

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20132015

most citedAlmost-prime values of polynomials at prime arguments

7 citations · 17 across the 9 of their papers we have counts for

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2 papers · 1 filter

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…

Bounded intervals containing many primes

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

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