integer-valued polynomials and pullbacks of arithmetical rings

... 95–143 Geometric Langlands duality and representations of algebraic groups over commutative rings By I. Mirkovi ´ c and K. Vilonen* 1. Introduction In this paper we give a geometric version of the ... and Langlands duality, preprint alg-geom/9511007, 1995. [GNO] P. Goddard, J. Nuyts, and D. Olive, Gauge Theories and Magnetic Change, Nuclear Phys. B 125 (19...

Ngày tải lên: 06/03/2014, 08:21

... completes the proof. Proof of Theorem 2. We first prove the analogue of Theorem 2 for the set S of S 4 -quartic orders having content 1 (i.e., the primitive quartic orders); on such quartic rings the ... n i · 1 32π 3 · 16 3  V (i) |Disc(v)| −1 f(v)dv = n i 6π 3  V (i) |Disc(v)| −1 f(v)dv, as desired. DISCRIMINANTS OF QUARTIC RINGS AND FIELDS 1033 Theorem...

Ngày tải lên: 22/03/2014, 20:20

Ngày tải lên: 21/06/2014, 08:20

... numbers and its derivatives,” Journal of Mathematical Analysis and Applications, vol. 339, no. 1, pp. 598–608, 2008. 13 T. Kim, On the analogs of Euler numbers and polynomials associated with p-adic ... obtain some relationships between the twisted q-Bernoulli numbers and polynomials and between the twisted generalized q-Bernoulli numbers and polynomial...

Ngày tải lên: 21/06/2014, 16:20

... of Inequalities and Applications Volume 2010, Article ID 816363, 29 pages doi:10.1155/2010/816363 Research Article Derivatives of Orthonormal Polynomials and Coefficients of Hermite-Fej ´ er Interpolation Polynomials ... Kanjin and R. Sakai, “Convergence of the derivatives of Hermite-Fej ´ er interpolation polynomials of higher order based at t...

Ngày tải lên: 21/06/2014, 18:20

... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 723615, 9 pages doi:10.1155/2008/723615 Research Article On the Distribution of the q-Euler Polynomials and the q-Genocchi ... 1.16 The purpose of this paper is to give the distribution of extended higher order q-Euler and q-Genocchi polynomials. In 24, Choi-Anders...

Ngày tải lên: 22/06/2014, 03:20

... functions, we prove complete sums of products of the twisted h, q - extension of Euler polynomials and numbers. We also define some identities involving twisted h, q -extension of Euler polynomials ... pages doi:10.1155/2008/816129 Research Article Remarks on Sum of Products of h, q -Twisted Euler Polynomials and Numbers Hacer Ozden, 1 Ismail...

Ngày tải lên: 22/06/2014, 18:20

... general. For example, let R = Z/4Z, and note that R has exactly New Characterizations and Generalizations of PP Rings 103 J -PP ring is right PS. Proof. If aR is simple and (aR) 2 =0,thenaR = eR for ... New Characterizations and Generalizations of PP Rings 101 Since K and E(L)areP -injective, so is H by (6). Note that E(L)/L is P - injective by (6). Thus (6) ⇒ (2)...

Ngày tải lên: 06/08/2014, 05:20

... subcomplex of the boundary complex of a simplicial polytope. Sections 4 and 5 include applications of Theorem 1.1 to order polytopes of (not necessarily graded) posets and to stable polytopes of perfect ... collection of convex polytopes in R N such that (i) any face of a polytope in F is also in F and (ii) the intersection of any two polytopes in F is a (possi...

Ngày tải lên: 07/08/2014, 08:22

... i p  , so w i (P, ) =w p−r−1−i (P, ) for all i, and the symmetry follows. The relationship between the W -polynomials of (P, )and( P,à) follows from Theorem 2.2 and the expansion of order-polynomials ... two labelings ω and λ of P give rise to the same labeling of E(P )thenitiseasyto see that the set of (P, ω)-partitions and the set of (P, λ)-part...

Ngày tải lên: 07/08/2014, 08:22

... mind, we define a partial f- factor of a graph G = (V, E) to be an ˜ f- factor of G where ˜ f( v) = f( v) ∪ {0} for all v ∈ V , and a partial f- factor of G is non-trivial if it is non-empty. Our next result ... sufficient condition for the existence of an f- factor of G. No necessary and sufficient condition for an f- factor exists when we allow |f( v)| ≥ 2, even when |f( v)|...

Ngày tải lên: 07/08/2014, 15:22

... the derangement polynomials of type B based on the number of weak excedances. As pointed out by Chow [8], the number of ex- cedances and n minus the number of weak excedances of type B are equidistributed ... extension of the decomposition of derangements given by Kim and Zeng [11] in their combinatorial proof of (1.3). Combinatorial Proof of Theorem 3.3. First,...

Ngày tải lên: 08/08/2014, 01:20

... the Cantabrian lowlands than in other locations at the Atlantic region, but less probable than in the Mediterranean region. Thus, the climate at the Cantabrian lowlands could be defined as Atlantic ... a complex interaction of several factors. The variation of ring width series is a linear combination of: (1) the trend related to the increase of the individu...

Ngày tải lên: 08/08/2014, 14:21

... generalization of the Bell polynomials, which is dual to the Charlier polynomials by the Stirling transform. We study the links of these polynomials with the combinatorics of Poisson central moments, ... follows. Section 2 contains the definition of our extension of the Bell polynomials. In Section 3 we study the properties of the polynomials usi...

Ngày tải lên: 08/08/2014, 14:22

Ngày tải lên: 13/11/2014, 09:19