On the equidistribution of hecke points

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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] 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.

Equidistribution of Hecke points and $p = (a+bi)(a-bi)

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 … Webin order to quantify the rate of equidistribution for a speciﬁc horospherical subgroup in … binging with babish beignets

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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 ... 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. Web1 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. c 语言 access 函数

EQUIDISTRIBUTION OF HECKE POINTS ON THE SUPERSINGULAR …

Equidistribution of CM-points on quaternion Shimura varieties

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 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... binging with babish beef stewWeb20 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 … c语言 abs fabs

"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

Joint equidistribution of CM points — Northwestern Scholars

WebGhosh, 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 … Web6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the …

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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 ... 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.

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

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 ... 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 …

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

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 binging with babish bob\u0027s burgersWebequidistribution 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 ... c语言 assert 0Web6 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 … binging with babish biscuits and gravyWeb13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected … c语言 argc argvWebequidistribution 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 c语言 assert 函数Webemphasize the analogy with the fact that Hecke orbits are equidistributed on the modular … binging with babish bread puddingWebThe 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. c 语言 bool 取反