Đề tài " On the nonnegativity of L(1/2, π) for SO2n+1 " potx

... square-integrable. Then π 1 × × π k σ is irreducible. Annals of Mathematics On the nonnegativity of L(1/2, π) for SO2n+1 By Erez Lapid and Stephen Rallis* ON THE NONNEGATIVITY OF L( 1 2 ,π ) ... automorphic form on Sp n .A consequence of the spectral theory is that the inner product of two such residues ON THE NONNEGATIVITY OF L(...

Ngày tải lên: 22/03/2014, 15:21

... fluctuations of the matrix elements for the desymmetrized quantum cat map. We present a conjecture for the distribution of the normalized matrix elements, namely that their distribution is that of ... solutions to k −lB 2 + mB 3 − nB 4 ≡ 0modN, B 2 ,B 3 ,B 4 ∈ C(N). By Lemma 14, the dimension of any irreducible component of X is at most 1. The contribution from the...

Ngày tải lên: 29/03/2014, 07:20

... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof follows the same line of reasoning as in [3, §5], but there ... 1.(2.93) Substitution into (2.82) yields the claim in (2.80). This completes the proof of Lemma 6. This completes the proof of Proposition 4 and hence of Theorem 1. 3....

Ngày tải lên: 14/02/2014, 17:20

... singular set on noncontracted components is the diameter of ϕ(V )inM; on contracted components one may take the smallest ε with V contained in the ε-thin part. The latter consists of endpoints of loops around ... pull-back of the relative tangent bundle. The ¯ ∂ J -equation giving J-holomorphic deformations of σ acts on the latter bundle. On the other hand,...

Ngày tải lên: 16/02/2014, 05:20

... component of type (i), then the intersection in codimension one of any two distinct components can only be a line. If there is no component of type (i), then the intersection in codimension one of ... X 2 meeting along a conic. If there are THE K 2 OF DEGENERATIONS OF SURFACES 361 other components, then there is a component X  meeting all the rest along a line. Thus, the...

Ngày tải lên: 16/02/2014, 06:20

... version is established (in the sense that one bounds explicitly the number of exceptional subspaces). We now turn to the proof of Theorem 5. Keep the notation and the assumptions of this theorem. ... [17], concerning the values of theta series at algebraic points. The proofs of Theorems 1 to 4 are given in Section 5. The key point for them is a new transcendence cr...

Ngày tải lên: 16/02/2014, 06:20

... ⊗ R(µ n ) R commutes. The proof of this theorem is the object of [13], it combines the deformation to the normal cone technique with deep results of Bismut on the behaviour of equivariant analytic torsion under ... values of the Γ-function. This leads to the conjecture of Gross-Deligne, which is described precisely in the last section of this paper. The main...

Ngày tải lên: 14/03/2014, 22:20

... value for one of the variables, how many values for the other variable will still satisfy the con- straint? In projection constraints, a value for the x variable has only one possible extension to ... construction proceeds by transformations on graphs rather than on constraint satisfaction systems. We employ a well-known reduc- tion [FGL + 96] converting the constraint s...

Ngày tải lên: 15/03/2014, 09:20

... a Perron-Frobenius theorem through the contraction of cones of ‘real-analytic’ functions. The pressure function may then be calculated as the averaged action of the operator on a hyperbolic fixed point ... Thus the sequence of maximal dilations is almost surely sub- exponential (Condition (T5) of Assumption 3.4). Condition (T4) of that as- sumption is a.s. verified by t...

Ngày tải lên: 15/03/2014, 09:20

... phenomenon already appears in the algebraic de Rham theory of Grothendieck, where the formal completion ˆ O of the algebra of regular functions on a complex algebraic variety X depends on the choice ... localization techniques established in Section 2 to the computation of the Hochschild homology of the algebra E ∞ (X) of Whitney functions on X. Note that this...

Ngày tải lên: 22/03/2014, 20:21