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Showing 2017 · math.NTShow all
3 papers · 2 filters
math.NT2017★ 9 cited
Low-lying zeros of quadratic Dirichlet -functions: A transition in the Ratios Conjecture
Daniel Fiorilli, James Parks, Anders Södergren
We study the -level density of low-lying zeros of quadratic Dirichlet -functions by applying the -functions Ratios Conjecture. We observe a transition in the main term as…
math.NT2017★ 18 cited
Chebyshev's bias for analytic L-functions
Lucile Devin
In this paper we discuss the generalizations of the concept of Chebyshev's bias from two perspectives. First we give a general framework for the study of prime number races and Che…
math.NT2017★ 6 cited
Parametric geometry of numbers in function fields
Damien Roy, Michel Waldschmidt
Parametric geometry of numbers is a new theory, recently created by Schmidt and Summerer, which unifies and simplifies many aspects of classical Diophantine approximations, providi…