Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Étienne Fouvry"'
Autor:
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski, Philippe Michel, Djordje Milićević, Will Sawin
Publikováno v:
Memoirs of the American Mathematical Society. 282
For a fairly general family of L L -functions, we survey the known consequences of the existence of asymptotic formulas with power-saving error term for the (twisted) first and second moments of the central values in the family. We then consider in d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::768ad70040a13a5c4f26dfcc90e34e9f
https://doi.org/10.1090/memo/1394
https://doi.org/10.1090/memo/1394
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 21:1543-1570
We show that for $100\%$ of the odd, square free integers $n> 0$ , the $4$ -rank of $\text {Cl}(\mathbb{Q} (i, \sqrt {n}))$ is equal to $\omega _3(n) - 1$ , where $\omega _3$ is the number of prime divisors of n that are $3$ modulo $4$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a80e9726d0121477921619ba1c97ce0f
https://doi.org/10.1017/s1474748020000651
https://doi.org/10.1017/s1474748020000651
Autor:
Étienne Fouvry, Michel Waldschmidt
Publikováno v:
Bulletin de la Société mathématique de France. 148:253-282
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7d18fd667f6927ffb6d2e2ea2454321
https://doi.org/10.24033/bsmf.2805
https://doi.org/10.24033/bsmf.2805
Autor:
Satadal Ganguly, Étienne Fouvry
Publikováno v:
Acta Arithmetica. 196:203-217
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65899a4daf1adeb7ac71550bc18eb39f
https://doi.org/10.4064/aa191215-16-1
https://doi.org/10.4064/aa191215-16-1
Autor:
Gérald Tenenbaum, Étienne Fouvry
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, In press, 375 (1), pp.245-299
Transactions of the American Mathematical Society, American Mathematical Society, In press, 375 (1), pp.245-299
International audience; We establish new Bombieri-Vinogradov type estimates for a wide class of multiplicative arithmetic functions and derive several applications, including: a new proof of a recent estimate by Drappeau and Topacogullari for arithme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78f8aabef87ba384b58ee7738c2a4003
https://hal.archives-ouvertes.fr/hal-03167173v2/document
https://hal.archives-ouvertes.fr/hal-03167173v2/document
Publikováno v:
Analytic Methods in Arithmetic Geometry. :113-195
We describe how a systematic use the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on various classical questions from analytic number theory. This text is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24cf33f87db15c65827f17fec238e0af
https://doi.org/10.1090/conm/740/14903
https://doi.org/10.1090/conm/740/14903
Publikováno v:
Annales de la Faculté des Sciences de Toulouse. Mathématiques, 30 (1)
In the analytic study of trace functions of ℓ-adic sheaves over finite fields, a crucial issue is to control the conductor of sheaves constructed in various ways. We consider cohomological transforms on the affine line over a finite field which hav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5694e4b6a8efb442b0f7d45f0924208
The homogeneous form $\Phi_n(X,Y)$ of degree $\varphi(n)$ which is associated with the cyclotomic polynomial $\phi_n(X)$ is dubbed a {\it cyclotomic binary form}. A positive integer $m\ge 1$ is said to be {\it representable by a cyclotomic binary for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24939743bf8b866c5436ccb6ef165f22
http://arxiv.org/abs/1712.09019
http://arxiv.org/abs/1712.09019
Publikováno v:
Proceedings of the Steklov Institute of Mathematics
Proceedings of the Steklov Institute of Mathematics, 296 (1)
Proceedings of the Steklov Institute of Mathematics, 296 (1)
We revisit a recent bound of I. Shparlinski and T. P. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8e4852846a8eceaa02cbab7abcdfd6b
https://hdl.handle.net/21.11116/0000-0004-08F7-D21.11116/0000-0004-08F9-B
https://hdl.handle.net/21.11116/0000-0004-08F7-D21.11116/0000-0004-08F9-B