Đề tài " Divisibility of anticyclotomic L-functions and theta functions with complex multiplication " pdf
Đề tài " Divisibility of anticyclotomic L-functions and theta functions with complex multiplication " pdf
... Divisibility of anticyclotomic L -functions and theta functions with complex multiplication By Tobias Finis DIVISIBILITY OF ANTICYCLOTOMIC L -FUNCTIONS 785Lemma 3.2. Let L, H and ... is a Hecke character ϕ of conductor lm and infinityAnnals of Mathematics, 163 (2006), 767–807 Divisibility of anticyclotomic L -functions and theta functions with complex multiplication By Tobias ... (results of Yang). We review some results of Yang[Y] connecting theta functions with complex multiplication to special values of Hecke L -functions of anticyclotomic characters.Yang considers...
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Đề tài " Combinatorics of random processes and sections of convex bodies " pptx
... T− and T+ with at least |A−|1/α and |A+|1/αleaves respectively.Now glue the trees T− and T+into one tree T of subsets of A by declaringA the root of T and A− and A+the sons of ... 603–648Combinatorics of random processes and sections of convex bodiesBy M. Rudelson and R. Vershynin*AbstractWe find a sharp combinatorial bound for the metric entropy of sets in Rn and general classes of functions. ... Rnux≤π/2 xL2(Ω,µ).Annals of Mathematics Combinatorics of random processes and sections of convex bodies By M. Rudelson and R. Vershynin* COMBINATORICS OF RANDOM PROCESSES621Since...
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Đề tài " Formation of singularities for a transport equation with nonlocal velocity " potx
... ν|Λα2θ|2dx.On the other handθ2Λθdx =[θ(x)+θ(y)]2(θ(x) − θ(y))2(x − y)2dxdy ≥ 0 and the proof of the third part of the lemma follows.3.1. Global existence with α>1.Theorem 3.2. ... Li, and A. C. Morlet, Analytic structure of 1D-transport equations with nonlocal fluxes, Physica D 91 (1996), 349–375.[2]A. L. Bertozzi and A. J. Majda, Vorticity and the Mathematical Theory of ... number, 0 ≤ α ≤ 2 and Λαθ ≡ (−∆)α2θ.This equation represents the simplest case of a transport equation with anonlocal velocity and with a viscous term involving powers of the laplacian....
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Đề tài " Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing " pdf
... w ∈˜H and n ∈ N.The proof of Proposition 4.3 is the content of Section 4.6 below. Theo-rem 4.1 then follows from this proposition and from Proposition 3.12 with thechoices tn= n and δn= ... Z∞contains all ele-ments of the form n1a1+ n2a2 with n1 and n2in Z \ [−L, L].Proof. We may assume without loss of generality that |a1| > |a2| and that a1,a2 > 0. ... has Z∞=Z0=˜Z∞. In the rest of the proof, we assume that there exist two elementsa1 and a2 of Z0that are neither collinear nor of the same length and weshow that one has Z∞= Z0....
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Tài liệu Đề tài " Hypersurface complements, Milnor fibers and higher homotopy groups of arrangments " ppt
... type of a cellular map, j : X → Y , where:(i) Both X and Y are minimal CW-complexes.(ii) At the level of k-skeletons, X(k)= Y(k), and the restriction of j to X(k)is the identity.Proof. ... graded chain complex of the universal coverLet X beaconnected CW -complex of finite type, with fundamental groupπ := π1(X), and universal coverX. The explicit determination of the boundarymaps, ... chain complexes (18) ⊗ and (19). Therefore, ε :gr∗IC∗(X) ⊗→is acyclic, and this finishes the proof of Proposition 22.Let A be an essential projective arrangement of rank r ≥ 3, with...
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Đề tài " Integrality of a ratio of Petersson norms and level-lowering congruences " pot
... arithmeticity of the theta correspondence and the theory of special values of L -functions. Shimura’s work on the theta correspondence was later extended to other sit-uations by Harris-Kudla and Harris, ... 001k|a|−1d×adkq, and the local measures dk∞ and dkqare such that vol(SO2(R))=2π and vol(GL2(Zq)) = 1.3.4. Computation of the local zeta integrals Lq and L∞. We list belowthe values of γ and ... satisfied by f and to the central values of a family of Rankin-Selberg L -functions. Finally we give two applications, the first to proving the integral-ity of a certain triple product L-value and the...
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Đề tài " On the periods of motives with complex multiplication and a conjecture of GrossDeligne " pdf
... On the periods of motives with complex multiplication and a conjecture of Gross-Deligne By Vincent Maillot and Damian Roessler ON THE PERIODS OF MOTIVES WITH COMPLEX MULTIPLICATION 745When ... of Lerch ζ -functions occurring in Rg(TX) in terms of derivatives of Dirichlet L -functions, and then Lemma 3.1 to give a global (cohomological)expression for the right side of (12).Proof of ... section of this paper.The main contribution of this paper is the proof of a (slight variant of) theconjecture of Gross-Deligne, in the situation where the Hodge structure with complex multiplication...
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Đề tài " Stability of mixing and rapid mixing for hyperbolic flows " pot
... proofs of Propositions 4.8 and 4.9 are valid for f ∈ C1,1.Proof of Lemma 4.2. Let Ψ ∈Vbe sufficiently C2-close to Ψ0∈V∞ and let f ∈ Cr(Σ1). Statements (1) and (2) of Lemma 4.2, and ... formula, the proof of the second beingsimilar.286 MICHAEL FIELD, IAN MELBOURNE, AND ANDREI T¨OR¨OKIt follows easily from the definitions of QN,n and Qn, together with theestimates of Lemmas ... the Cr-stability of mixing, and of therate of mixing, for Axiom A and Anosov flows.There is a quite extensive literature on mixing and rates of mixing forcertain classes of Anosov flows. In...
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Đề tài " Discreteness of spectrum and positivity criteria for Schr¨odinger operators " doc
... that for every fixed γ ∈ (0, 1) and d>0, the left-handside of (3.21) tends to +∞ as Gd→∞. This concludes the proof of part (i) of Theorem 2.2.4. Discreteness of spectrum: sufficiencyIn this ... of spectrum and positivitycriteria for Schr¨odinger operatorsBy Vladimir Maz’ya and Mikhail Shubin*AbstractWe provide a class of necessary and sufficient conditions for the dis-creteness of ... continuous with respect to the capacity aswell.Instead of the cubes Qdwhich we dealt with in Section 1, a more generalfamily of test bodies will be used. Let us start with a standard open...
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Tài liệu Đề tài " Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12, . . . " pptx
... oriented USF paths from x and y to ∞ meet, and running Wilson’smethod rooted at infinity starting with random walks from the vertices inV ∪{z} and following by random walks from x and y we obtainP[U(W ... Groups of polynomial growth and expanding maps, Inst. Hautes´EtudesSci. Publ. Math. 53 (1981), 53–73.[4]W. Hebisch and L. Saloff-Coste, Gaussian estimates for Markov chains and randomwalks ... F,µ), with G1independent of F1, and letT denote the trivial σ-field, consisting of events with probability 0 or 1.If∩n≥1Fn= T = ∩n≥1Gn, then ∩n≥1(Fn∨ Gn)=T as well.Proof. Let...
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