Zobrazeno 1 - 5
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pro vyhledávání: '"Ilya Khayutin"'
Publikováno v:
Forum of Mathematics, Pi, Vol 12 (2024)
Let f be an $L^2$ -normalized holomorphic newform of weight k on $\Gamma _0(N) \backslash \mathbb {H}$ with N squarefree or, more generally, on any hyperbolic surface $\Gamma \backslash \mathbb {H}$ attached to an Eichler order of squarefree
Externí odkaz:
https://doaj.org/article/97779d26eaf64e3eba5545b2d7d0640b
Autor:
Ilya Khayutin
Publikováno v:
Journal of the European Mathematical Society. 23:2949-3016
A connected Kuga-Sato variety $\mathbf{W}^r$ parameterizes tuples of $r$ points on elliptic curves (with level structure). A special point of $\mathbf{W}^r$ is a tuple of torsion points on a CM elliptic curve. A sequence of special points is strict i
Autor:
Ilya Khayutin
Let $E/\mathbb{Q}$ be a number field of degree $n$. We show that if $\operatorname{Reg}(E)\ll_n |\operatorname{Disc}(E)|^{1/4}$ then the fraction of class group characters for which the Hecke $L$-function does not vanish at the central point is $\gg_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35328d475c5b87d27cedd87440693d68
Autor:
Ilya Khayutin
We prove the mixing conjecture of Michel and Venkatesh for toral packets with negative fundamental discriminants and split at two fixed primes; assuming all splitting fields have no exceptional Landau-Siegel zero. As a consequence we establish for ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94c7ff9431bb2683a4824711d4cc0f95
http://arxiv.org/abs/1710.04557
http://arxiv.org/abs/1710.04557
Autor:
Ilya Khayutin
Publikováno v:
International Mathematics Research Notices. :rnw099
We study large deviations for measurable averaging operators on state spaces of dynamical systems. Our main motivation is the Hecke operators on the modular curve Y_0(p^n) and their generalization to higher rank S-arithmetic quotients. We prove a rel