7 citations · 17 across the 9 of their papers we have counts for
9 papers
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
Estimates for character sums and Dirichlet -functions to smooth moduli
A. J. Irving
We use the -analogue of van der Corput's method to estimate short character sums to smooth moduli. If is a primitive Dirichlet character modulo a squarefree, -smooth in…
The largest prime factor of
A. J. Irving
Improving on a theorem of Heath-Brown, we show that if is sufficiently large then a positive proportion of the values have a prime factor larger than $X…
Almost-prime values of polynomials at prime arguments
A. J. Irving
We consider almost-primes of the form where is an irreducible polynomial over and runs over primes. We improve a result of Richert for polynomials of deg…
The divisor function in arithmetic progressions to smooth moduli
A. J. Irving
By using the -analogue of van der Corput's method we study the divisor function in an arithmetic progression to modulus . We show that the expected asymptotic formula holds f…
Almost prime values of binary forms with one prime variable
A. J. Irving
By establishing an improved level of distribution we study almost primes of the form where is an irreducible binary form over .