On the equidistribution of hecke points

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WebEffective 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 … WebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. …

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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 ... 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. earth treasures jewelers

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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] WebIn this paper, we are interested in the equidistribution problem of the Hecke points \a as … 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 … earth treasures jewelry

Equidistribution of primitive rational points on expanding …

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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. Web3. 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 ctrl alt repair san angelo txWeb1 de nov. de 2007 · Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one … earth treasures

"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- " - On the equidistribution of hecke points

On the equidistribution of hecke points

[1904.08041] The Siegel variance formula for quadratic forms

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 … WebThe main novel contribution is a method to exclude intermediate measures for toral …

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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 ... 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 …

Webp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK … Web8 de fev. de 2024 · In this paper we characterize all the sequences of discriminants for …

Web6 de mar. de 2013 · Request PDF Equidistribution of Hecke points on the … Web13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected …

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 ...

Webin order to quantify the rate of equidistribution for a speciﬁc horospherical subgroup in … ctrl alt key codesWeb18 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],... earthtreecafe 鴨川市WebEQUIDISTRIBUTION 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 … ctrl alt l windows ctrl alt l not locking keyboardWebbe 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 ... earthtrek gearWebThe 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. ctrl alt mashWeb1 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. ctrl alt p not working