Department of Mathematics
Recent Submissions

Steadystate bipartite entanglement supported by a squeezed environment
(Institute of Physics Publishing, 200505)We examine the entanglement of two atoms induced by an external quantum system. Both twolevel atoms are coupled to a third twolevel system by dipole interaction, and the third system is under the influence of a certain ... 
The problem of localizing photons
(Institute of Physics Publishing, 200101)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 ... 
Nonoscillating Paleywiener functions
(SpringerVerlag, 2004)A nonoscillating PaleyWiener 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
(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
(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, nilsemicommutative ... 
WaringGoldbach problem with PiatetskiShapiro primes
(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 PiatetskiShapiro primes, thereby establishing a variant of WaringGoldbach problem with ... 
Interpolation for completely positive maps: Numerical solutions
(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
(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
(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
(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 mfold fiber join of ξ, where m is some large positive integer. We show that the dimension functions ... 
Bases in some spaces of Whitney functions
(Duke University Press, 20170629)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 ... 
Arithmetic properties of coefficients of Lfunctions of elliptic curves
(SpringerVerlag Wien, 2018)Let ∑ n ⩾ 1ann s be the Lseries of an elliptic curve E defined over the rationals without complex multiplication. In this paper, we present certain similarities between the arithmetic properties of the coefficients ... 
Rough values of PiatetskiShapiro sequences
(SpringerVerlag Wien, 2018)An integer is called yrough if it is composed solely of primes CloseSPigtSPi y. Let ⌊. ⌋ be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n⩽ x such that ⌊ nc⌋ ... 
Lines on Smooth Polarized K3Surfaces
(Springer New York LLC, 2018)For each integer D⩾ 3 , we give a sharp bound on the number of lines contained in a smooth complex 2Dpolarized K3surface in PD + 1. In the two most interesting cases of sextics in P4 and octics in P5, the bounds are 42 ... 
Surrounded BonnorVaidya solution by cosmological fields
(Springer, 20181211)In the present work, we generalize our previous work (Heydarzade and Darabi in arXiv:1710.04485, 2018 on the surrounded Vaidya solution by cosmological fields to the case of BonnorVaidya charged solution. In this regard, ... 
Stability of phase difference trajectories of networks of kuramoto oscillators with timevarying couplings and intrinsic frequencies
(Society for Industrial and Applied Mathematics Publications, 2018)We study dynamics of phase differences (PDs) of coupled oscillators where both the intrinsic frequencies and the couplings vary in time. In the case the coupling coefficients are all nonnegative, we prove that the PDs are ... 
Representation rings for fusion systems and dimension functions
(Springer Berlin Heidelberg, 2018)We define the representation ring of a saturated fusion system F as the Grothendieck ring of the semiring of Fstable representations, and study the dimension functions of Fstable representations using the transfer map ... 
Symmetries versus conservation laws in dynamical quantum systems: a unifying approach through propagation of fixed points
(Birkhauser Verlag AG, 2018)We unify recent Noethertype theorems on the equivalence of symmetries with conservation laws for dynamical systems of Markov processes, of quantum operations, and of quantum stochastic maps, by means of some abstract ... 
Classical double copy: KerrSchildKundt metrics from YangMills theory
(American Physical Society, 2018)The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the KerrSchildKundt (KSK) class of metrics in d dimensions in the context of possible new ...