114 citations · 524 across the 39 of their papers we have counts for
38 papers
Averages of long Dirichlet polynomials
Sandro Bettin, J. Brian Conrey
We consider the asymptotic behavior of the mean square of truncations of the Dirichlet series of . We discuss the connections of this problem with that of the variance of t…
Mixed moments of characteristic polynomials of random unitary matrices
Emma C. Bailey, Sandro Bettin, Gordon Blower +4
Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unit…
Critical zeros of lacunary L-functions
J. B. Conrey, H. Iwaniec
Assuming the existence of a sequence of exceptional discriminants of quadratic fields, we show that a hundred percent of zeros of the Riemann zeta function are on the critical line…
Smooth neighbors
Brian Conrey, Mark Holmstrom, Tara McLaughlin
We give a new algorithm that quickly finds smooth neighbors.
On the orthogonal symmetry of -functions of a family of Hecke Grössencharacters
J. B. Conrey, N. C. Snaith
The family of symmetric powers of an -function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic p…
In support of -correlation
J. B. Conrey, N. C. Snaith
In this paper we examine -correlation for either the eigenvalues of a unitary group of random matrices or for the zeros of a unitary family of -functions in the important sit…