61 citations · 272 across the 16 of their papers we have counts for
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math.NT2012★ 8 cited
A Recursion Formula for Moments of Derivatives of Random Matrix Polynomials
S. Ali Altug, Sandro Bettin, Ian Petrow +2
We give asymptotic formulae for random matrix averages of derivatives of characteristic polynomials over the groups USp(2N), SO(2N) and O^-(2N). These averages are used to predict…
math.NT2012★ 13 cited
Moments of L'(1/2) in the Family of Quadratic Twists
Ian Petrow
We prove the asymptotic formulae for several moments of derivatives of GL(2) L-functions over quadratic twists. The family of L-functions we consider has root number fixed to -1 an…