Đề tài " The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points " ppt

... xyx −1 (see the proof of THE DERIVATION PROBLEM FOR GROUP ALGEBRAS 225 Corollary 1.2), they write N for the closure of the elements of G belonging to relatively compact conjugacy classes. Then Cond. ... and on this subspace the formula for the dual action of G is the same (this was used in the proof of Corollary 3.10). Recall that βG (the Stone- ˇ Cech com...

Ngày tải lên: 06/03/2014, 08:21

... (n, n 2 ). Proof. The proof is by induction. The result for Q 0 is obvious, and the result for Q 1 ∼ = P 1 is Property (D). Except for the base cases in the previous paragraph, the argument for the odd and ... sum of the outer terms. The right term provides a generator of degree (2n, n), and the left term provides the rest of the generators. The a...

Ngày tải lên: 06/03/2014, 08:21

... respect to ¯µ) and therefore in the gap intervals J(µ) and J(¯µ) the right endpoints (A) and ( ¯ A) must respectively be located at the same point of J − t (µ) and J − t (¯µ). This in view of Proposition ... I i,j (µ) for i<jfrom the corresponding overlappings of the families F + (µ) and F − (µ)over the gap interval. In par- ticular they show that the length...

Ngày tải lên: 14/03/2014, 22:20

... of the land to be lost more than 10% of the total area of the landholding and the remaining holding is not viable then the project will acquire the entire landholding and provide "land for ... compatibility of the compensation with profitability and the prevailing land prices of the locality. The “K” coefficient of relative rate between the land...

Ngày tải lên: 20/12/2013, 17:15

... search, a random problem generator is needed to produce a set of representative test problems. The design of such a random problem generator and a comparison of the outcomes by applying the proposed ... List The type of elements in the tabu list L TABU for the searching process is defined in this section. The data structure of L TABU takes the form of an n...

Ngày tải lên: 25/12/2013, 19:15

... grants from the Scientific Fund of the Ministry of Education, Science and Culture of Japan (G.T.); the Program for Promotion of Fundamental Studies in Health Sciences of the National Institute of Biomedical ... regulation of signal cascades and the physiological and pathological roles of miRNAs. Hence, further investigations aiming to elucidate the mechanism...

Ngày tải lên: 14/02/2014, 19:20

... technique (FBRM) and contains information about the size and concentration of the particles in the dispersion, whose variation is the image of the flocculation process for all the flocculation ... However a number of problems around the removal of substances are not solved yet and further closing of the water cycle causes other problems. Challenges for...

Ngày tải lên: 09/03/2014, 00:20

... those of [R1] or [T]: A and A ⊗U agree on the distinguishing invariant for the counterexamples of [R1] and [T] and a host 1032 ANDREW S. TOMS of others including K-theory with coefficients mod p, the ... and next-to-minimal real rank; the proof of the theorem is elemen- tary compared to the intricate constructions of [R1] and [T], and demonstrates the neces...

Ngày tải lên: 16/02/2014, 06:20

... g  (x) 2 is the square of the norm of the differential for the metric dual to e 0 , the induced Euclidean metric. Now (4.8) is a standard eikonal equation on G and we can find solutions of the form g(x) ... ψ to be the solution of (4.9), we get a solution of (4.6). (4.6) implies that p(x, iϕ  (x)+ψ  (x))=0,(4.14) which is the eikonal equation for the constru...

Ngày tải lên: 16/02/2014, 06:20

... influence on the types of any of the other particles during [0,s] (and of course no influence on the paths of these other particles), as long as we stay on I 1 ∩I 2 (compare the argument for (2.36) ... left-hand sides of (3.31) and (3.60) are the same for this choice of Λ. We leave it to the reader to check that the right-hand side of (3.60) is at least as lar...

Ngày tải lên: 16/02/2014, 06:20