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Articles 2431 - 2460 of 2595
Full-Text Articles in Mathematics
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
Turkish Journal of Mathematics
The system of weight equations for a binary $(n, m)$-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.
A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler
A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler
Turkish Journal of Mathematics
No abstract provided.
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
Turkish Journal of Mathematics
Let $K$ be a local field with finite residue class field and $E$ a finite Galois extension over $K$. In this paper, we study the Artin conductor $\frak f_{\rm Artin}(\chi_\rho)$ of a character $\chi_\rho$ associated to a representation $\rho:\mbox{Gal}(E/K)\rightarrow GL(V)$ of $\mbox{Gal}(E/K)$ with metabelian kernel $\mbox{ker}(\rho)$. In order to do so, we first review the Artin character $a_{\mbox{Gal}(E/K)}$ of $\mbox{Gal}(E/K)$ and review the metabelian local class field theory. We finally propose the definition of the conductor $\frak f(E/K)$ of a metabelian extension $E/K$ in the sense of Koch-de Shalit local class field theory, and compute $\frak f_{\rm Artin}(\chi_\rho)$ under a …
The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden
The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden
Turkish Journal of Mathematics
No abstract provided.
On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher
On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher
Turkish Journal of Mathematics
We prove that all but finitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety $J_0(N)$) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.
Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono
Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono
Turkish Journal of Mathematics
No abstract provided.
On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz
On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz
Turkish Journal of Mathematics
No abstract provided.
Planar Linkages And Algebraic Sets, Henry C. King
Planar Linkages And Algebraic Sets, Henry C. King
Turkish Journal of Mathematics
No abstract provided.
Canonical Framings For 3 -Manifolds, Rob Kirby, Paul Melvin
Canonical Framings For 3 -Manifolds, Rob Kirby, Paul Melvin
Turkish Journal of Mathematics
No abstract provided.
On Symplectic Fillings Of 3-Manifolds, Paola Lisca
On Symplectic Fillings Of 3-Manifolds, Paola Lisca
Turkish Journal of Mathematics
No abstract provided.
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Turkish Journal of Mathematics
Alternatives to the Polynomial Dunford-Pettis property and the Holomorphic Dunford-Pettis property, called the PDP1 and HDP1 properties, respectively, are introduced. These are shown to be equivalent to the DP1 property, an alternative Dunford-Pettis property previously introduced by the author, thus mirroring the equivalence of the three original properties.
Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n
Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n
Turkish Journal of Mathematics
In this paper, some theorems involving inequalities on $p$-valent functions (that is $p$-valenty close-to-convex functions, $p$-valently starlike functions, and $p$-valently convex functions) are given. Moreover, some applications in the theorems which are important for geometric function theory are also included. Keywords: Analytic, $p$-valent, $p$-valently colse-to-convex functions, $p$-valently starlike functions, $p$-valently convex functions, open unit disk, and Jack's Lemma.
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
Turkish Journal of Mathematics
No abstract provided.
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Turkish Journal of Mathematics
In this paper, we give a geometric proof of Pinkham's theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of the Tyurina components of the exceptional divisor and of the points of blowing-up surface of a rational singularity.
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Turkish Journal of Mathematics
No abstract provided.
Difference Method For A Singularly Perturbed Initial Value Problem, Gabi̇l Muhammadoğlu Amiraliyev
Difference Method For A Singularly Perturbed Initial Value Problem, Gabi̇l Muhammadoğlu Amiraliyev
Turkish Journal of Mathematics
In this paper we construct a completely exponentially fitted finite difference scheme for the initial value problem with small parameter by first and second derivatives. We prove the first order uniform convergence of the scheme in the sense of discrete maximum norm. Numerical results are presented.
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
Turkish Journal of Mathematics
The object of the present paper is to derive several interesting properties of the class $T_n\lam$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n\lam$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $Tn\lam$ are studied here.
Weighted Ergodic Averages, M.D. Ha
Weighted Ergodic Averages, M.D. Ha
Turkish Journal of Mathematics
Let $(X, {\cal F}, \lambda)$ be the unit circle $\Bbb S^1 = \{z \in \Bbb C : z = 1\}$ with the usual $\sigma$-algebra ${\cal F}$ of Lebesgue measurable subsets and the normalized Lebesgue measure $\lambda$. Consider a sequence $\nu_n: \Bbb N \ra \Bbb R, \;\; \nu_n(k) \geq 0, \;\; \Sigma^{\infty}_{k=1} \nu_n(k) = 1$. For any measure-preserving $\tau : X \ra X$, this sequence induces a sequence $(T_n)^{\infty}_1$ of bounded, linear operators on $L^p(X), \;\; 1 \leq p \leq \infty$, by defining \[ T_n f = \sum^{\infty}_{k=1} \nu_n(k) \; f \circ \tau^k, \quad n = 1, 2, \ldots . \] …
Cess-Modules, Cesim Çelik
Cess-Modules, Cesim Çelik
Turkish Journal of Mathematics
In this paper, we investigate generalizations of CS-modules, namely CESS-modules, weak CS-modules and modules satisfying a condition (P). Several results are given to show the relationships between the classes of these modules.
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
Turkish Journal of Mathematics
The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponential random variables.
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
Turkish Journal of Mathematics
In this paper, we will give a description of the functor from the category of crossed $n$-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on $n$-types of simplicial groups.
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
Turkish Journal of Mathematics
In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
Turkish Journal of Mathematics
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.
On The Discrete Squeezing Property For Semilinear Wave Equations, A. Eden, V. K. Kalantarov
On The Discrete Squeezing Property For Semilinear Wave Equations, A. Eden, V. K. Kalantarov
Turkish Journal of Mathematics
No abstract provided.
On Certain Varieties Of Semigroups, A. Tiefenbach
On Certain Varieties Of Semigroups, A. Tiefenbach
Turkish Journal of Mathematics
In this paper we generalize the class of completely regular semigroups (unions of groups) to the class of local monoids, that is the class of all semigroups where the local subsemigroups \( aSa \) are local submonoids. The sublattice of this variety \( (\mathbf{L}(\caL(\cam)) \) covers another lattice isomorphic to the lattice of all bands \( ([x^2 = x]). \) Every bundvariety \( \cau \) has as image the variety \( \Phi - \cau, \) which is the class of all semigroups, where \( \Phi \) is a \( \cau \)-congruence \( (a \Phi b \Leftrightarrow aSa = bSb). \) …
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Turkish Journal of Mathematics
Some three-term and mixed three-term relations for Hardy sums were given by Goldberg [7]. His proofs are based on Bernd's transformation formulae for the logarithms of the classical Theat-functions. Pettet and Sitaramachandararo [9] proved elementary proofs for all of Goldberg's results and also proved some three-term relations of Dedekind sums. In this paper, some new theorems on three-term relations for hardy sums were found by applying derivative operator to three-term polynomial relation. Furthermore, proofs of the reciprocity relations for Hardy sums are presented in a more concise way from the original proofs of Berndt [2, 3, 4] and Goldberg [7].
On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca
On The Action Of Steenrod Operations On Polynomial Algebras, İ. Karaca
Turkish Journal of Mathematics
Let \( \bba \) be the mod-\( p \) Steenrod Algebra. Let \( p \) be an odd prime number and \( Z_{p} = Z/pZ \). Let \( P_{s} = Z_{p} [x_{1},x_{2},\ldots,x_{s}]. \) A polynomial \( N \in P_{s} \) is said to be hit if it is in the image of the action \( A \otimes P_{s} \ra P_{s}. \) In [10] for \( p=2, \) Wood showed that if \( \a(d+s) > s \) then every polynomial of degree \( d \) in \( P_{s} \) is hit where \( \a(d+s) \) denotes the number of ones in the …
Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak
Dold-Kan Type Theorems For N-Types Of Simplicitial Commutative Algebras, Z. Arvasi̇, M. Koçak
Turkish Journal of Mathematics
A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.
From Simplicial Groups To Crossed Complexes, Z. Arvasi̇
From Simplicial Groups To Crossed Complexes, Z. Arvasi̇
Turkish Journal of Mathematics
In this paper, we will give a short proof of the construction of the crossed complex of groups by using the higher order Peiffer elements.
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
Turkish Journal of Mathematics
We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.