On the equidistribution of hecke points

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August undefined, 2024

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 … 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 …

arXiv:1811.04019v3 [math.NT] 12 Apr 2024

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 ... 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 … green air cargo

p-Adic distribution of CM points and Hecke orbits. I. Convergence ...

WebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. … Web13 de jan. de 2003 · On the equidistribution of Hecke points A semicontinuity result for … 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. flower mound to grand prairie

[1710.04557] Joint Equidistribution of CM Points - arXiv.org

(PDF) Hecke Operators and Equidistribution of Hecke …

Webemphasize the analogy with the fact that Hecke orbits are equidistributed on the modular … Web13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected … green air care buffalo grove ilWebThis 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. flower mound to dfw

"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. " - On the equidistribution of hecke points

On the equidistribution of hecke points

Joint equidistribution of CM points — Northwestern Scholars

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

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

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],... 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 …

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

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...

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 ... green air care il reviewWeb1 de ago. de 2012 · Equidistribution in supersingular Hecke orbits A. Kret Mathematics … green air charge birminghamWebequidistribution 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 flower mound texas property searchWebThen we have equidistribution of Hecke points over the modular surface: lim n → ∞ [ T n f] ( z) = ∫ X ( 1) f ( z) d z Both of these results have Hecke's name attached. The first deals with Hecke characters and L-functions the second deals with … flower mound to farmers branchWeb13 de jan. de 2003 · On the equidistribution of Hecke points. Goldstein, Daniel; Mayer, … flower mound traffic courtWebThe main novel contribution is a method to exclude intermediate measures for toral … green air charge manchesterWeb9 de nov. de 2015 · We confirm a conjecture of Marklof regarding the limiting distribution … flower mound town council