Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Emmanuel Kowalski"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform. This generalizes the earlier results of Munshi
Externí odkaz:
https://doaj.org/article/d64ab46fbd1142b3b99c2c433550b0f2
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:
Oberwolfach Reports. 17:1317-1383
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecdcc3cd6953cd3cecbab30a52cabc6a
https://doi.org/10.4171/owr/2020/26
https://doi.org/10.4171/owr/2020/26
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
Autor:
Emmanuel Kowalski
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4304f8af769d79bb0122ec57d11fef6
https://doi.org/10.1017/9781108888226
https://doi.org/10.1017/9781108888226
Publikováno v:
Advances in Mathematics, 385
We prove the equidistribution of subsets of (R/Z)n defined by fractional parts of subsets of (Z/qZ)n that are constructed using the Chinese Remainder Theorem.
Advances in Mathematics, 385
ISSN:0001-8708
ISSN:1090-2082
Advances in Mathematics, 385
ISSN:0001-8708
ISSN:1090-2082
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28d4b87d518ab43c0265a6c09222789a
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