On the equidistribution of hecke points

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Web20 de set. de 2024 · We study the limiting distribution of the rational points under a horizontal translation along a sequence of expanding closed horocycles on the modular surface. Using spectral methods we confirm equidistribution of these sample points for any translate when the sequence of horocycles expands within a certain polynomial … 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.

Ergodic theoretic proof of equidistribution of Hecke points

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 ... Web13 de jan. de 2003 · On the equidistribution of Hecke points. Goldstein, Daniel; Mayer, … how much slurry does a cow produce

EQUIDISTRIBUTION OF RATIONAL MATRICES IN THEIR …

Web6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the … WebThe main tool in the proof of Theorem 1.4 is the use of Hecke operators. The relation of Hecke operators to Linnik’s problem was ﬁrst observed by Sarnak in [Sa]. Our starting point is then an equidistribution result for Hecke points in ZΓ\Gwhere Zis the connected center of Gand Γ is a congruence subgroup of G. This result was WebIn this paper, we are interested in the equidistribution problem of the Hecke points \a as … how do they test you for add

Number Theory Seminar : Fall 2024

http://gauss.math.yale.edu/~ho2/doc/erghecke.pdf Web17 de nov. de 2006 · As a corollary, we generalize the equidistribution result of Hecke points ( [COU], [EO1]) to homogeneous spaces G / H. As a concrete application, we describe the equidistribution result in the rational matrices with a given characteristic polynomial. Download to read the full article text Author information Hee Oh how much slurry to addWebequidistribution of Hecke points may follow from Ratner’s measure classi cation the-orem [Ra] provided ai’s converge to an element not belonging to Comm(). However Burger and Sarnak did not give a detailed proof of this claim: this was done by Dani and Margulis [DM, Corollary 6.2] in 1993, where they deduced the assertion from their how much slime is sold per year

"Web9 de nov. de 2015 · We confirm a conjecture of Marklof regarding the limiting distribution … " - On the equidistribution of hecke points

On the equidistribution of hecke points

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 … Web6 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...

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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. Web17 de nov. de 2012 · Let x 0 be an irrational point on the torus {\mathbb {T}^2}. We toss a 0 or a 1, apply it to x 0, get another irrational point x 1, do it again to x 1, get a point x 2, and again. This random trajectory is equidistributed on the torus. This phenomenon is quite general on any finite volume homogeneous space. Download to read the full article text.

Web10 de abr. de 2024 · Request PDF Parallel surface defects, Hecke operators, ... Hecke Operators and Equidistribution of Hecke Points. November 2000 · Inventiones mathematicae. Laurent Clozel; Hee Oh ...

Web1 de nov. de 2007 · Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one … 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 …

Web8 de fev. de 2024 · In this paper we characterize all the sequences of discriminants for …

Web13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected … how much slurry does a cow produce ukWeb1 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 much slushy was initially in the cupWebEffective 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 … how do they test you for hivWebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. … how do they test you for dementiaWebEQUIDISTRIBUTION OF HECKE POINTS ON THE SUPERSINGULAR MODULE RICARDO MENARES Abstract. For a ﬁxed prime p, we consider the (ﬁnite) set of supersingular elliptic curves over F p. Hecke operators act on this set. We compute the asymptotic frequence with which a given supersingular elliptic curve visits another under … how do they test you for covid 19Web18 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],... how do they test you for endometriosisWebintersection 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 do they test you for ms