31 citations · 131 across the 24 of their papers we have counts for
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math.NT2011★ 31 cited
Surpassing the Ratios Conjecture in the 1-level density of Dirichlet -functions
Daniel Fiorilli, Steven J. Miller
We study the -level density of low-lying zeros of Dirichlet -functions in the family of all characters modulo , with . For test functions whose Fourier tran…
math.NT2011
On a theorem of Bombieri, Friedlander and Iwaniec
Daniel Fiorilli
In this article, we show to which extent one can improve a theorem of Bombieri, Friedlander and Iwaniec by using Hooley's variant of the divisor switching technique. We also give a…
math.NT2011★ 6 cited
The influence of the first term of an arithmetic progression
Daniel Fiorilli
The goal of this article is to study the discrepancy of the distribution of arithmetic sequences in arithmetic progressions. We will fix a sequence $\A=\{\a(n)\}_{n\geq 1}$ of non-…