On the equidistribution of hecke points

Webin order to quantify the rate of equidistribution for a specific horospherical subgroup in … Web13 de jan. de 2003 · TLDR. This article tries to model the average case of lattice reduction algorithms, starting with the celebrated Lenstra-Lenstra-Lovasz algorithm (L3), and discusses what is meant by lattice Reduction on the average, and presents extensive …

Ergodic theoretic proof of equidistribution of Hecke points

http://gauss.math.yale.edu/~ho2/doc/erghecke.pdf 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 ... high country ski and sports livingston nj https://insegnedesign.com

Equidistribution in Number Theory, An Introduction (eBook, PDF)

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 ... WebThe 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. WebHecke equidistribution. For a prime p ≡ 1 ( mod 4), we can write p = a 2 + b 2 = N ( a + b i). Therefore. where φ ∈ [ 0, 2 π]. I know that Hecke proved that φ is equidistributed. I am looking for a reference for this nice result. I would be thankful if one can give me a reference. how fast are ice speed skaters

THE SUP-NORM PROBLEM ON THE SIEGEL MODULAR SPACE OF …

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On the equidistribution of hecke points

On the equidistribution of Hecke points Semantic Scholar

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. Webequidistribution 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 ...

On the equidistribution of hecke points

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Webemphasize the analogy with the fact that Hecke orbits are equidistributed on the modular … 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 …

Web27 de set. de 2004 · (Submitted on 27 Sep 2004) Abstract:We use the theory of unipotent … Web1 de nov. de 2007 · Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one …

Web28 de mar. de 2024 · Joint equidistribution of CM points. Event details. Date: 28.03.2024 – 16:15 › 17:15 : Speaker: Ilya Khayutin (Princeton) Location: ... As a result the obstacle to proving equidistribution is the potential concentration of mass on graphs of Hecke correspondences and translates thereof. 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-

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. high country silverado wheelsWeb3. Equidistribution of intersection points 15 4. The pull-push form 19 5. Inarianvt forms on period domains 24 6. Applications 35 References 48 1. Introduction Let Gbe a semi-simple Lie group and let Γ ⊂Gbe a lattice. Homogeneous dynamics is traditionally interested in the equidistribution properties of the orbits of a Lie subgroup high country ski rentalhigh country ski and tennis njWebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. … how fast are hypersonic missiles in machWebp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK … high country ski livingston njWeb12 de out. de 2024 · Joint Equidistribution of CM Points. We prove the mixing … how fast are ice trainsWebBy a CM-suborbit O(x) of a CM-point we mean an orbit O(x) ⊂ O cm(x) under an open subgroup of T(Q)\T(Q ).Itsconductor c(O(x)) is defined to be the largest ideal cso that (1+ cO K)× stabilizes O(x). The equidistribution conjecture implies the equidistribution of O cm(x). Theorem 3.1. Let x i be a sequence of CM-points on M U. Then the CM ... highcountryslabs.com