2024 On the equidistribution of hecke points

On the equidistribution of hecke points

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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

Equidistribution of primitive rational points on expanding …

WebBy 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 ... Webin order to quantify the rate of equidistribution for a speciﬁc horospherical subgroup in … cost of life 360 app

Equidistribution of Hecke eigenforms on the Hilbert modular …

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 Web13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected … Webp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK … cost of lidocaine patch 4%

Equidistribution of Hecke points on the supersingular module

Web6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the … WebThe main novel contribution is a method to exclude intermediate measures for toral … breakin schoolWebThe 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. break-ins columbus ga

"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 " - On the equidistribution of hecke points

On the equidistribution of hecke points

(PDF) Hecke Operators and Equidistribution of Hecke Points

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 ... Web13 de jan. de 2003 · The equidistribution of Hecke points proved by Clozel-Ullmo …

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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 … 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 …

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 ... 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 · We confirm a conjecture of Marklof regarding the limiting distribution … 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]

Webbe 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 ...

Web13 de jan. de 2003 · On the equidistribution of Hecke points A semicontinuity result for … break ins coniferhttp://gauss.math.yale.edu/~ho2/doc/erghecke.pdf cost of life alert buttonWeb12 de out. de 2024 · Joint Equidistribution of CM Points. We prove the mixing … break ins compared to gun accidentsWebGhosh, 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 … breakins cornerWeb6 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... break ins columbus ohioWebintersection 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. cost of life alert emergency responseWeb27 de set. de 2004 · (Submitted on 27 Sep 2004) Abstract:We use the theory of unipotent … cost of life alert for seniors