Recent Submissions

  • A survey of results on primes in short intervals 

    Yıldırım, Cem Yalçın (CRC Press, 1998)
  • Preface 

    Stepanov, Serguei A. (CRC Press, 1998)
  • Fibre products, character sums and geometric Goppa codes 

    Stepanov, Serguei A. (CRC Press, 1998)
    The purpose of this paper is to construct some new families of smooth projective curves over a finite field Fq with extremely many Fq-rational points. The genus in every such family is considerably less than the number ...
  • Hessian Tensor and standard static space-times 

    Ünal, Bülent; Dobarro, F. (2008)
    In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant ...
  • The development of the principal genus theorem 

    Lemmermeyer, Franz (Springer, 2007)
    Genus theory today belongs to algebraic number theory and deals with a certain part of the ideal class group of a number field that is more easily accessible than the rest. Historically, the importance of genus theory stems ...
  • Polarization of free electromagnetic field and electromagnetic radiation in quantum domain 

    Shumovsky, A. A. (Institute of Physics Publishing, 1998-07-06)
    Il is shown that conventional disreg;ird.of lo.ngitudinal component, which always e~ists iil radiation ofa localized source, can lead to some. qualitative errors in the description 9f polarization within the quantum domain. ...
  • Persistent perfect entanglement in atomic systems 

    Çakir, Ö.; Can, M. A.; Klyachko, A. A.; Shumovsky, A. S. (Institute of Physics Publishing, 2004)
    It is show that the system of an even number of three-level atoms in the A configuration in a cavity can evolve into a persistent maximum entangled state. The time of formation or such an entangled state is estimated.
  • Maximum entanglement 

    Klyachko, A. A.; Shumovsky, A. S. (Institute of Physics Publishing, 2003-08)
    We discuss a novel variational principle in quantummechanics defining maximum entangled states in terms of quantum fluctuations of observables specifying these stales.
  • Steady-state bipartite entanglement supported by a squeezed environment 

    Can, M. A.; Çakir, Ö.; Günhan, A. C.; Klyachko, A. A.; Pak, N. K.; Shumovsky, A. S. (Institute of Physics Publishing, 2005-05)
    We examine the entanglement of two atoms induced by an external quantum system. Both two-level atoms are coupled to a third two-level system by dipole interaction, and the third system is under the influence of a certain ...
  • The problem of localizing photons 

    Shumovsky, A. S.; Klyachko, A. A. (Institute of Physics Publishing, 2001-01)
    It is shown that the boundary conditions, specifying the plane waves of photons, are incapable of description of the photon localization at detection and emission. It is also shown that deflection from the plane waves ...
  • Non-oscillating Paley-wiener functions 

    Ostrovskii, I. V.; Ulanovskii, A. (Springer-Verlag, 2004)
    A non-oscillating Paley-Wiener function is a real entire functionf of exponential type belonging toL 2(R) and such that each derivativef (n),n=0, 1, 2,…, has only a finite number of real zeros. It is established that the ...
  • Classical Zariski pairs 

    Degtyarev, D. (Worldwide Center of Mathematics, 2010)
    We compute the fundamental groups of the complements of all irreducible plane sextics constituting classical Zariski pairs.
  • Semicommutativity of amalgamated rings 

    Kose, H.; Kurtulmaz, Y.; Ungor, B.; Harmancı, A. (Journal of Mathematical Research with Applications, 2018)
    In this paper, we study some cases when an amalgamated construction A ◃▹f I of a ring A along an ideal I of a ring B with respect to a ring homomorphism f from A to B, is prime, semiprime, semicommutative, nil-semicommutative ...
  • Waring-Goldbach problem with Piatetski-Shapiro primes 

    Akbal, Y.; Güloğlu, A. M. (Institut de Mathematique de Bordeaux, 2018)
    In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with ...
  • Interpolation for completely positive maps: Numerical solutions 

    Ambrozie, C.; Gheondea, A. (Societatea de Stiinte Matematice din Romania, 2018)
    We present a few techniques to find completely positive maps between full matrix algebras taking prescribed values on given data, based on semidefinite programming, convex minimization supported by a numerical example, as ...
  • A nil approach to symmetricity of rings 

    Ungor, B.; Kose, H.; Kurtulmaz, H. Y.; Harmanci, A. (Allahabad Mathematical Society, 2018)
    We introduce a weakly symmetric ring which is a generalization of a symmetric ring and a strengthening of both a GWS ring and a weakly reversible ring, and investigate properties of the class of this kind of rings. A ring ...
  • The spectral theorem for locally normal operators 

    Gheondea, A. (AGH University of Science and Technology, 2018)
    We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the ...
  • Dimension functions for spherical fibrations 

    Okay, C.; Yalçin, E. (Mathematical Sciences Publishers, 2018)
    Given a spherical fibration ξ over the classifying space BG of a finite group G we define a dimension function for the m-fold fiber join of ξ, where m is some large positive integer. We show that the dimension functions ...
  • Bases in some spaces of Whitney functions 

    Goncharov, A.; Ural, Z. (Duke University Press, 2017-06-29)
    We construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- ...

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