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1999

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Articles 271 - 280 of 280

Full-Text Articles in Mathematics

Masatoshi Gündüz İkeda, Mehpare Bi̇lhan Jan 1999

Masatoshi Gündüz İkeda, Mehpare Bi̇lhan

Turkish Journal of Mathematics

No abstract provided.

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On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda Jan 1999

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 …

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The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden Jan 1999

The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden

Turkish Journal of Mathematics

No abstract provided.

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On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher Jan 1999

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.

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Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono Jan 1999

Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono

Turkish Journal of Mathematics

No abstract provided.

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On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz Jan 1999

On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz

Turkish Journal of Mathematics

No abstract provided.

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Mach’S Principle In A Mixed Newton-Einstein Context, Evert Jan Post, Michael Berg Jan 1999

Mach’S Principle In A Mixed Newton-Einstein Context, Evert Jan Post, Michael Berg

Mathematics, Statistics and Data Science Faculty Works

A closed physical space, in conjunction with scalar versus pseudo scalar distinctions, and an accordingly adapted Gauss theorem, reveal unexpected perspectives on Mach's principle, the mass-energy theorem, and a bonus insight into the nature of the solutions of the Einstein field equations of gravity.

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Finite Type Link Homotopy Invariants, Blake Mellor Jan 1999

Finite Type Link Homotopy Invariants, Blake Mellor

Mathematics, Statistics and Data Science Faculty Works

Bar-Natan used Chinese characters to show that finite type invariants classify string links up to homotopy. In this paper, I construct the correct spaces of chord diagrams and Chinese characters for links up to homotopy. I use these spaces to show that the only rational finite type invariants of link homotopy are the pairwise linking numbers of the components.

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A Monte Carlo Comparison Of Tests For Cointegration In Panel Data, Chihwa Kao Jan 1999

A Monte Carlo Comparison Of Tests For Cointegration In Panel Data, Chihwa Kao

Center for Policy Research

This paper surveys recent developments and provides Monte Carlo comparison on various tests proposed for cointegration in panel data. In particular, tests for two panel models, varying intercepts and varying slopes, and varying intercepts and common slopes are presented from the literature with a total of seven tests being simulated. In all cases, results on empirical size and size-adjusted power are given.

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On The Estimation And Inference Of A Cointegrated Regression In Panel Data, Chihwa Kao Jan 1999

On The Estimation And Inference Of A Cointegrated Regression In Panel Data, Chihwa Kao

Center for Policy Research

The main contribution of this paper is to add to the literature by suggesting a dynamic OLS (DOLS) estimator and providing a serious comparison of the finite sample properties of the OLS, fully modified OLS (FMOLS), and DOLS estimators in panel cointegrated regression models. Monte Carlo results illustrate the sampling behavior of the proposed estimators and show that (1) the OLS estimator has a non-negligible bias in finite samples, (2) the FMOLS estimator does not improve over the OLS estimator in general, and (3) the DOLS outperforms both the OLS and FMOLS estimators.

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