On the equidistribution of hecke points
Web6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the … Webemphasize the analogy with the fact that Hecke orbits are equidistributed on the modular …
On the equidistribution of hecke points
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Web13 de jan. de 2003 · The equidistribution of Hecke points proved by Clozel-Ullmo …
Web6. Equidistribution of partial Hecke orbits 53 7. Equidistribution of CM points along a p-adic discriminant 63 Appendix A. Quadratic extensions of Qp and p-adic discriminants 74 References 77 1. Introduction For every prime number p, in this paper we give a complete description of the asymptotic distribution of CM points on the moduli space of ... 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.
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- Web18 de nov. de 2000 · Hecke Operators and Equidistribution of Hecke Points Authors: Laurent Clozel Hee Oh Emmanuel Ullmo Université Paris-Sud 11 Abstract a are commensurable with each other and j n a j = [ : a 1 a],...
Web9 de nov. de 2015 · Eskin, A. and Oh, H., Ergodic theoretic proof of equidistribution of Hecke points, Ergodic Theory Dynam. Systems 26 ( 1) ( 2006 ), 163 – 167; MR 2202442 (2006j:11068). CrossRef Google Scholar [Gla03]
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. how many years since hiroshima bombingWebThe main novel contribution is a method to exclude intermediate measures for toral … how many years since march 4 2019Webequidistribution of mass of the respective eigenfunction since they estimate the ex tent to which the eigenfunctions may localize in small sets. The problem of bound ing sup-norms is also closely related to the multiplicity problem: if V\ denotes the eigenspace of the eigenvalue A, then we have the inequality [Sar] dim Va < vol(X) sup \\F\\i ... how many years since jesus was crucifiedWeb6 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 … how many years since 1979Web1 de fev. de 2006 · Hecke equidistribution (see e.g. [3] for the statement) transforms a formula for a single lattice, such as Theorem 1, into a formula for its average over random lattice. how many years since bts debutedWebp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK … how many years since march 2015Web6 de mar. de 2013 · Equidistribution of Hecke points on the supersingular module Request PDF Equidistribution of Hecke points on the supersingular module March 2013 arXiv Authors: Ricardo Menares Pontificia... how many years since may 2015