On the equidistribution of hecke points
Web6 de mar. de 2013 · Equidistribution of Hecke points on the supersingular module Ricardo Menares For a fixed prime p, we consider the (finite) set of supersingular elliptic curves over . Hecke operators act on this set. We compute the asymptotic frequence with which a given supersingular elliptic curve visits another under this action. Submission … Web1 de ago. de 2012 · Equidistribution in supersingular Hecke orbits A. Kret Mathematics …
On the equidistribution of hecke points
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WebThis set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. Web12 de mar. de 2024 · We prove that the homology classes of closed geodesics associated to subgroups of narrow class groups of real quadratic fields concentrate around the Eisenstein line. This fits into the framework of Duke's Theorem and can be seen as a real quadratic analogue of results of Michel and Liu--Masri--Young on supersingular reduction of CM …
Web13 de jan. de 2003 · On the equidistribution of Hecke points A semicontinuity result for … Webbe the orthonormal basis of Hecke eigenforms in S 2k((1)), the space of holomorphic cusp forms of weight 2kwith respect to the modular group (1). Thus J k=dim C S 2k((1)) = ˆ [k=6] 1; if k 1(mod6); [k=6]; if k6 1(mod6): One expects that the following equidistribution law holds for f j;k as the weight k!1: for any measurable subset Aon the ...
Web12 de jan. de 2024 · Eskin, A. and Oh, H., Ergodic theoretic proof of equidistribution of Hecke points, Ergodic Theory Dynam. Systems 26 ( 2006 ), 163 – 167 . CrossRef Google Scholar WebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. …
WebVol.17, 2007 EQUIDISTRIBUTION OF MATRICES 5 On the organization of the paper. Given x0 ∈ X and a closed sub-group H of G such that x0H has a finite volume, we introduce in sec-tion 2 the multiplicities of Hecke points and the weighted Hecke operators T a = T H a. In section 3, we give an analogous definition for local p multi-
Webin order to quantify the rate of equidistribution for a specific horospherical subgroup in … farm credit employee credit unionWeb9 de nov. de 2015 · We confirm a conjecture of Marklof regarding the limiting distribution … farm credit east riverhead nyWebThe Lindelöf hypothesis for such series was originally conjectured by Hoffstein. In the course of the proof, one must treat a bilinear form in Salié sums. It turns out that such a bilinear form also has several arithmetic applications to equidistribution. These are a series of joint works with Zaharescu and Shparlinski-Zaharescu. free online group games for workWeb27 de set. de 2004 · (Submitted on 27 Sep 2004) Abstract:We use the theory of unipotent … free online group games for kidsWebThe main novel contribution is a method to exclude intermediate measures for toral … free online groups for griefWebEffective equidistribution of horocycle lifts We give a rate in the problem of equidistribution of lifted horocycles in the space of unimodular two-dimensional lattice translates. The ineffective version is due to Elkies and … farmcreditexpress.comfarm credit employees credit union