114 citations · 524 across the 39 of their papers we have counts for
4 papers · 1 filter
Mean values of L-functions and symmetry
J. Brian Conrey, David W. Farmer
Recently Katz and Sarnak introduced the idea of a symmetry group attached to a family of L-functions, and they gave strong evidence that the symmetry group governs many properties…
Zeros of Fekete polynomials
J. Brian Conrey, Andrew Granville, Bjorn Poonen +1
The authors study the distribution of zeros of the Fekete polynomial f_p(t) (defined for p prime) as p -> infinity. They show that asymptotically a constant fraction of the zeros l…
Transition mean values of real characters
J. Brian Conrey, David W. Farmer, K. Soundararajan
We evaluate the character sum sigma_m sigma_n (m/n) where the two sums are of approximately the same length. The answer is surprising.
High moments of the Riemann zeta-function
J. Brian Conrey, Steven M. Gonek
The authors describe a general approach which, in principal, should produce the correct (conjectural) formula for every even integer moment of the Riemann zeta function. They carry…