41 citations · 130 across the 19 of their papers we have counts for
20 papers
Factoring determinants and applications to number theory
Estelle Basor, Brian Conrey
Products of shifted characteristic polynomials, and ratios of such products, averaged over the classical compact groups are of great interest to number theorists as they model simi…
Averages of quadratic twists of long Dirichlet polynomials
Brian Conrey, Brad Rodgers
We investigate averages of long Dirichlet polynomials twisted by Kronecker symbols and we compare our result with the recipe of [CFKRS]. We are able to compute these averages in th…
Averages of long Dirichlet polynomials with modular coefficients
Brian Conrey, Alessandro Fazzari
We study the moments of -functions associated with primitive cusp forms, in the weight aspect. In particular, we obtain an asymptotic formula for the twisted moments of a \texti…
Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals
Siegfred Baluyot, Brian Conrey
We refine a recent heuristic developed by Keating and the second author. Our improvement leads to a new integral expression for the conjectured asymptotic formula for shifted momen…
Which numbers are not the sum plus the product of three positive integers?
Brian Conrey, Neil Shah
We investigate the number of representations of as the sum plus the product of three positive integers. On average, is . We give an upper…
The mean square of the product of a Dirichlet -function and a Dirichlet polynomial
Brian Conrey, Henryk Iwaniec, Kannan Soundararajan
We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to . This forms another applica…