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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • Normal high order elements in finite field extensions based on the cyclotomic polynomials 
    Popovych, R.; Skuratovskii, R. (Algebra and Discrete Mathematics, 2020)
    We consider elements which are both of high multiplicative order and normal in extensions Fqm of the field Fq. If the extension is defined by a cyclotomic polynomial, we construct such elements explicitly and give explicit ...
  • Normalization and averaging on compact lie groups in nonlinear mechanics 
    Lopatin, A.K. (Український математичний журнал, 1997)
    We consider the method of normal forms, the Bogolyubov averaging method, and the method of asymptotic decomposition proposed by Yu. A. Mitropol’skii and the author of this paper. Under certain assumptions about group-theoretic ...
  • The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) 
    Masol, V.I.; Slobodyan, S.Y. (2006)
    The theorem on a normal limit (n→∞) distribution of the number of false solutions of a beforehand consistent system of nonlinear random equations in the field GF(2) with independent coefficients is proved. In particular, ...
  • Normally ζ-reversible profinite groups 
    Cimetta, L.; Lucchini, A. (Algebra and Discrete Mathematics, 2016)
    We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We ...
  • Normal subdigroups and the isomorphism theorems for digroup 
    Ongay, F.; Velásquez, R.E.; Wills-Toro, L.A. (Algebra and Discrete Mathematics, 2016)
    We discuss the notion of normality of a sub-object in the category of digroups. This allows us to define quotient digroups, and then establish the corresponding analogues of the classical Isomorphism Theorems.
  • Norm Kloosterman sums over Z[i] 
    Savastru, O.; Varbanets, S. (Algebra and Discrete Mathematics, 2011)
    n-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate. Nontrivial estimates of these sums were obtained.
  • Norm of Gaussian integers in arithmetical progressions and narrow sectors 
    Varbanets, S.; Vorobyov, Y. (Algebra and Discrete Mathematics, 2020)
    We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Note on Symmetric Words in Metabelian Groups 
    Holubowski, W. (Український математичний журнал, 2002)
    We completely describe n-symmetric words in a free metabelian group.
  • Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales 
    Chenghui Zhang; Tongxing Li (Нелінійні коливання, 2018)
    By using a new method, we improve some results from [Saker S. H. Oscillation criteria for a second-order quasilinear neutral functional dynamic equation on time scales // Nonlin. Oscillations. – 2011. – 13, № 3. – P. 407 – 428].
  • Notes on Schubert, Grothendieck and Key Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and ...
  • Notes on the uniqueness and value sharing for meromorphic functions concerning differential polynomials 
    Li, Jin-Dong (Український математичний журнал, 2014)
    We study the problem of uniqueness of meromorphic functions concerning differential polynomials, and obtain some results. These results improve the results obtained earlier by Li [J. Sichuan Univ. (Natural Science Edition), ...
  • Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells 
    Coquereaux, R.; Isasi, E.; Schieber, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated ...
  • Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The existence of a novel enlarged shape invariance property valid for some rational extensions of shape-invariant conventional potentials, first pointed out in the case of the Morse potential, is confirmed by deriving all ...
  • Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities 
    León, G.; Sudarsky, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Inflation is considered one of the cornerstones of modern cosmology. However, the account of the origin of cosmic structure, as provided by the standard inflationary paradigm, is not fully satisfactory. The fundamental ...
  • N – real fields 
    Feigelstock, S. (Algebra and Discrete Mathematics, 2003)
    A field F is n-real if −1 is not the sum of n squares in F. It is shown that a field F is m-real if and only if rank (AAt ) = rank (A) for every n × m matrix A with entries from F. An n-real field F is n-real closed ...
  • Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem 
    Percino-Figueroa, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian N-body problem, given a minimal central configuration a and an arbitrary configuration x, there exists a completely parabolic orbit ...
  • Numerical Techniques in Loop Quantum Cosmology 
    Brizuela, D.; Cartin, D.; Khanna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic features of LQC, and describe features ...
  • N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions 
    Gerdjikov, V.S.; Kostov, N.A.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider N-wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first Z₂-reduction is the canonical one. We impose a second Z₂-reduction and consider also ...

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