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pro vyhledávání: '"JOUVE, Florent"'
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\''{\i}che, we consider general class functions and prove bounds which depend on norms associated to these function
Externí odkaz:
http://arxiv.org/abs/2301.12899
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 distribution. Precisely we consider in this paper the case of groups having
Externí odkaz:
http://arxiv.org/abs/2301.12826
Autor:
Barbulescu, Razvan, Jouve, Florent
The complexity of the elliptic curve method of factorization (ECM) is proven under the celebrated conjecture of existence of smooth numbers in short intervals. In this work we tackle a different version of ECM which is actually much more studied and
Externí odkaz:
http://arxiv.org/abs/2212.11724
Autor:
Fiorilli, Daniel, Jouve, Florent
Prime counting functions are believed to exhibit, in various contexts, discrepancies beyond what famous equidistribution results predict; this phenomenon is known as Chebyshev's bias. Rubinstein and Sarnak have developed a framework which allows to c
Externí odkaz:
http://arxiv.org/abs/2012.12245
Autor:
Fiorilli, Daniel, Jouve, Florent
Publikováno v:
J. Inst. Math. Jussieu 23 (2024) 1169-1258
Given a Galois extension $L/K$ of number fields, we describe fine distribution properties of Frobenius elements via invariants from representations of finite Galois groups and ramification theory. We exhibit explicit families of extensions in which w
Externí odkaz:
http://arxiv.org/abs/2001.05428
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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, is known to have interesting consequences in the study of prime number
Externí odkaz:
http://arxiv.org/abs/1502.05294
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 field analogue of prior work by Mazur, Sarnak and the second author. In
Externí odkaz:
http://arxiv.org/abs/1502.05295
Autor:
Jouve, Florent, Sereni, Jean-Sébastien
We prove a general large sieve statement in the context of random walks on subgraphs of a given graph. This can be seen as a generalization of previously known results where one performs a random walk on a group enjoying a strong spectral gap propert
Externí odkaz:
http://arxiv.org/abs/1205.0631
This paper is partly a survey of known results on quadratic forms that are hard to find in the literature. Our main focus is a twisted form of a construction due to Bezout. This skew Bezoutian is a symplectic (resp. quadratic) space associated to a p
Externí odkaz:
http://arxiv.org/abs/1004.4208