Đề tài "Annals of Mathematics Lehmer’s problem for polynomials with odd coefficients " pptx

... integral eigenfunction of the Shintani operators F ∗ (z) with associated eigencharacters λ p of the operators F ∗ p for all p |dD. Set ˜ W = g(λ l ,µ) for a root of unity µ of order  v  (d) , ... Z p -extension with unique inter- mediate extensions F n /F of degree p n . The vanishing of the µ-invariant of F ∞ /F implies by a well-known result of Iwasawa that the p-p...

Ngày tải lên: 06/03/2014, 08:21

... Chủ đề: Các hiện tượng tự nhiên Đề tài: Làm quen chữ cái S, X Nhóm lớp: Lá I. Mục đích yêu cầu: - Trẻ nhận

Ngày tải lên: 24/12/2013, 03:15

... Chủ đề: Các hiện tượng tự nhiên Đề tài: Làm quen chữ cái S, X Nhóm lớp: Lá I. Mục đích yêu cầu: - Trẻ nhận

Ngày tải lên: 21/01/2014, 10:20

... composition LR, it suffices to prove (2.2) for LR with γ in place of α. Independence of the relations L and R, together with (2.2) for L and for R with β in place of α imply P[xLRz, yLRw] ≤  a,b∈ Z d P[xLa, ... from Wilson [15] for picking uniformly a spanning tree in a finite graph. Let {v 1 ,v 2 , } be an GEOMETRY OF THE UNIFORM SPANNING FOREST 477 arbitrary ordering of...

Ngày tải lên: 14/02/2014, 17:20

... respectively. Annals of Mathematics Classification of local conformal nets. Case c < 1 By Yasuyuki Kawahigashi and Roberto Longo CLASSIFICATION OF LOCAL CONFORMAL NETS 511 m Labels for Z | A ∆ B | ... net for c =1is the fixed-point net of the SU(2) 1 net with the action of SU(2). That is, for each closed subgroup of SU(2), we have a fixed point net, which i...

Ngày tải lên: 14/02/2014, 17:20

... make use of this fact in the proof of Lemma 4.1. 4. Proof of the Main Lemma For any n ≥ n 0 , let k be such that c s n ∈ I m(k) −I m(k+1) , and let b n be an endpoint of I m(k+1)−1 . Recall that A n = |b n |  −|c s n+1 |  |b n |  −|c s n |  ,B n =  |c s n | |c s n+1 |  /2 . The ... 2004) Annals of Mathematics, 163 (2006), 383–404 Decay of geometry for unimodal maps: An...

Ngày tải lên: 16/02/2014, 05:20

... MCMULLEN 6. Algebraic sums of 1-forms In this section we introduce the notion of algebraic sums of 1-forms. We find that whenever an eigenform in genus 2 is presented as a sum of forms of genus 1, the corresponding ... of orbifolds; the fiber over X ∈ Mod g is the space Ω(X) −{0}/ Aut(X). For brevity, we refer to (X, ω) ∈ ΩM g as a form of genus g. Action of GL + 2 (R). The gr...

Ngày tải lên: 16/02/2014, 06:20

... category of modules has direct limits. This derived functor commutes with the forgetful functors; i.e. Forg  U k ◦RΓ  D = RΓ◦Forg  D O where Forg  D O :mod qc (  D) → mod qc (O), Forg  U k :mod(  U) ... vanishing for D,  D follows from cohomology vanishing of the associated graded sheaves. For O T ∗ B this is Theorem 2 of [KLT], which only requires p to be good for g. Th...

Ngày tải lên: 16/02/2014, 06:20

... symplectic basis for O⊗R with respect to the skew-symmetric form E t and e i,τ =Φ ∞ (e i )  τ 1  ∈ L τ ⊗ R so that the e i,τ form a symplectic basis for L τ ⊗ R with respect to the form E τ . We ... Grossencharacters of K and the Siegel- Weil formula. We first derive an explicit formula for the Fourier coefficients of θ t ϕ 2 (χ  ) for any ϕ 2 ∈S(D 2 (A)). Let K (1) denote the...

Ngày tải lên: 06/03/2014, 08:21

... purpose. For S ⊂ V (C 2r+1 ) and v ∈ S, let a(S, v) denote the arc of S to which v belongs (assuming this arc exists). Furthermore, for an arbitrary arc a Annals of Mathematics Proof of the ... as the sum of the dimensions of the constituting symbols. 5.1. Cohomology groups of Z 2 -quotients of products of an odd number of spheres. Let X be a direct product of...

Ngày tải lên: 06/03/2014, 08:21