On the equidistribution of hecke points
Web12 de out. de 2024 · Joint Equidistribution of CM Points. We prove the mixing … Web13 de jan. de 2003 · On the equidistribution of Hecke points A semicontinuity result for …
On the equidistribution of hecke points
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WebThe crux is a geometric expansion of the crosscorrelation between the periodic measure on a torus orbit and a Hecke correspondence, expressing it as a short shifted convolution sum. The latter is bounded from above generalizing the method of Shiu and Nair to polynomials in two variables on smooth domains. Original language. WebGhosh, Gorodnik and Nevo [GGN13, GGN15, GGN16] and Sarnak [] used the spectral theory of automorphic forms for proving some optimal results on the distribution of integral points on homogenous varieties if the associate automorphic spectrum satisfies the generalized Ramanujan conjecture [].Our approach is different and give some optimal …
Webintersection of any finite-rank subgroup of A with the set of points on A corresponding to an isogeny class on S is finite. The question was proposed by A. Buium and B. Poonen in 2009. We follow the strategy proposed by the authors, using a result about the equidistribution of Hecke points on Shimura varieties and Serre’s open image theorem. Webp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK …
Web18 de nov. de 2000 · The equidistribution of periodic orbits of semisimple groups is also closely connected to the equidistribution of Hecke points; a quantitative treatment of such equidistribution was … WebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. …
Web13 de jan. de 2003 · On the equidistribution of Hecke points. Goldstein, Daniel; Mayer, …
WebEquidistribution of integer points on a family of homogeneous varieties: a problem of Linnik. (with W. Gan), Compositio Math. Vol 136 (2003), 323--352 ... Hecke operators and equidistribution of Hecke points. (with L. Clozel and E. Ullmo), Inventiones Math., vol 144 (2001), pp. 327--351 ... fly tipper caught in the actWebVol.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- fly tipping cameras for councilsWeb1 de nov. de 2007 · Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one … greenpoint monitor consultingWeb12 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 fly tipping cornwall councilWeb6 de mar. de 2013 · Request PDF Equidistribution of Hecke points on the … greenpoint medical pcWebThe 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. fly tipping clearance suttonWeb12 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 … fly tipping clearance glasgow