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 785 Lemma 3.2. Let L, H and ... is a Hecke character ϕ of conductor l m and infinity Annals of Mathematics, 163 (2006), 767–807 Divisibility of anticyclotomic L -functions and theta f...

Ngày tải lên: 06/03/2014, 08:21

... T − and T + with at least |A − | 1/α and |A + | 1/α leaves respectively. Now glue the trees T − and T + into one tree T of subsets of A by declaring A the root of T and A − and A + the sons of ... 603–648 Combinatorics of random processes and sections of convex bodies By M. Rudelson and R. Vershynin* Abstract We find a sharp combinatorial bound for the metric entrop...

Ngày tải lên: 22/03/2014, 20:20

... ν  |Λ α 2 θ| 2 dx. On the other hand  θ 2 Λθdx =  [θ(x)+θ(y)] 2 (θ(x) − θ(y)) 2 (x − y) 2 dxdy ≥ 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...

Ngày tải lên: 29/03/2014, 07:20

... 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 the choices t n = n and δ n = ... Z ∞ contains all ele- ments of the form n 1 a 1 + n 2 a 2 with n 1 and n 2 in Z \ [−L, L]. Proof. We may assume without loss of generality that |a 1 | > |a 2 | and that a...

Ngày tải lên: 29/03/2014, 07:20

... 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 cover Let X beaconnected CW -complex of finite type, with fundamental group π := π 1 (X), and universal cover  X. The explicit determinati...

Ngày tải lên: 14/02/2014, 16:20

... 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, ... 0 01  k   |a| −1 d × adk q , and the local measures dk ∞ and dk q are such that vol(SO 2 (R))=2π and vol(GL 2 (Z q )) = 1. 3.4. Computation of the local zeta i...

Ngày tải lên: 06/03/2014, 08:21

... 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 745 When ... of Lerch ζ -functions occurring in R g (TX) in terms of derivatives of Dirichlet L -functions, and then Lemma 3.1 to give a global (cohomological) expression fo...

Ngày tải lên: 14/03/2014, 22:20

... proofs of Propositions 4.8 and 4.9 are valid for f ∈ C 1,1 . Proof of Lemma 4.2. Let Ψ ∈Vbe sufficiently C 2 -close to Ψ 0 ∈V ∞ and let f ∈ C r (Σ 1 ). Statements (1) and (2) of Lemma 4.2, and ... formula, the proof of the second being similar. 286 MICHAEL FIELD, IAN MELBOURNE, AND ANDREI T ¨ OR ¨ OK It follows easily from the definitions of Q N,n and Q n , together with...

Ngày tải lên: 15/03/2014, 09:20

... that for every fixed γ ∈ (0, 1) and d>0, the left-hand side of (3.21) tends to +∞ as G d →∞. This concludes the proof of part (i) of Theorem 2.2. 4. Discreteness of spectrum: sufficiency In this ... of spectrum and positivity criteria for Schr¨odinger operators By Vladimir Maz’ya and Mikhail Shubin* Abstract We provide a class of necessary and sufficient conditions for the d...

Ngày tải lên: 22/03/2014, 20:20

... oriented USF paths from x and y to ∞ meet, and running Wilson’s method rooted at infinity starting with random walks from the vertices in V ∪{z} and following by random walks from x and y we obtain P[U(W ... Groups of polynomial growth and expanding maps, Inst. Hautes ´ Etudes Sci. Publ. Math. 53 (1981), 53–73. [4] W. Hebisch and L. Saloff-Coste, Gaussian estimates for Markov c...

Ngày tải lên: 14/02/2014, 17:20