9 citations · 27 across the 15 of their papers we have counts for
10 papers · 1 filter
Moments in the Chebotarev density theorem: general class functions
Régis de La Bretèche, Daniel Fiorilli, Florent Jouve
In this paper we find lower bounds on higher moments of the error term in the Chebotarev density theorem. Inspired by the work of Bella\''ıche, we consider general class functions…
Moments in the Chebotarev density theorem: non-Gaussian families
Régis de La Bretèche, Daniel Fiorilli, Florent Jouve
In this paper we investigate higher moments attached to the Chebotarev Density Theorem. Our focus is on the impact that peculiar Galois group structures have on the limiting distri…
Unconditional Chebyshev biases in number fields
Daniel Fiorilli, Florent Jouve
Prime counting functions are believed to exhibit, in various contexts, discrepancies beyond what famous equidistribution results predict; this phenomenon is known as Chebyshev's bi…
Distribution of Frobenius elements in families of Galois extensions
Daniel Fiorilli, Florent Jouve
Given a Galois extension of number fields, we describe fine distribution properties of Frobenius elements via invariants from representations of finite Galois groups and rami…
Prime number races for elliptic curves over function fields
Byungchul Cha, Daniel Fiorilli, Florent Jouve
We study the prime number race for elliptic curves over the function field of a proper, smooth and geometrically connected curve over a finite field. This constitutes a function fi…
Independence of the zeros of elliptic curve L-functions over function fields
Byungchul Cha, Daniel Fiorilli, Florent Jouve
The Linear Independence hypothesis (LI), which states roughly that the imaginary parts of the critical zeros of Dirichlet L-functions are linearly independent over the rationals, i…