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Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/135473
Description: We estimate the deviation of the number of solutions of the congruence. m²-n²≡c(modq),1≤m≤M,1≤n≤N, from its expected value on average over c=1,...,q. This estimate is motivated by the connection, rece ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/160281
Description: A weak mixed distributive law (also called weak entwining structure [8]) in a 2-category consists of a monad and a comonad, together with a 2-cell relating them in a way which generalizes a mixed dist ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/134834
Description: Aigner has defined elite primes as primes p such that all but finitely many of Fermat numbers F(n) = 2²ⁿ + 1, n = 0, 1, 2..., are quadratic nonresidues modulo p. Since the sequence of Fermat numbers i ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/159886
Description: 9 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/159883
Description: 16 page(s)
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146331
Description: 11 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/144589
Description: 11 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146978
Description: We improve recent results of D. Gomez and A. Winterhof on the Waring problem with Dickson polynomials in finite fields. Our approach is based on recent advances in arithmetic combinatorics in arbitrar ... More
Reviewed: Reviewed
Authors: Bui, The Anh | Li, Ji
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/134300
Description: Let X be a metric space with doubling measure, and L be an operator which has a bounded H∞ functional calculus and satisfies Davies-Gaffney estimates. In this paper, we develop a theory of Orlicz-Hard ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/170484
Description: We study the pricing and hedging of contingent claims in a Markov regime-switching market with a money market account, a zero-coupon bond, and an ordinary share. General contingent claims with payoffs ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146993
Description: We obtain some theoretical and experimental results concerning various properties (the number of fixed points, image distribution, cycle lengths) of the dynamical system naturally associated with Ferm ... More
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/160343
Description: 10 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146211
Description: Let (X,d,μ) be a metric measure space endowed with a distance d and a nonnegative Borel doubling measure μ. Let L be a non-negative self-adjoint operator on L²(X). Assume that the semigroup e-tL gener ... More
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/141099
Description: The unit sphere S in Cn has a natural sublaplacian L. We prove that the critical index for a Hörmander spectral multiplier theorem for L is n - 1/2, that is, half the topological dimension of S.
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/135776
Description: This paper presents non-commutative and structural notions of torsor. The two are related by the machinery of Tannaka-Krein duality.
Reviewed: Reviewed