Class number of (v, n, M)-extensions

Download

index.pdf

Date

2001-02-01

Author

Alkam, O
Bilhan, M

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

20
views

0
downloads

An analogue of cyclotomic number fields for function fields over the finite held F-q was investigated by L. Carlitz in 1935 and has been studied recently by D. Hayes, M. Rosen, S. Galovich and others. For each nonzero polynomial M in F-q[T], we denote by k(Lambda (M)) the cyclotomic function field associated with M, where k = F-q(T). Replacing T by 1/T in k and considering the cyclotomic function held F-upsilon that corresponds to (1/T)(upsilon +1) gets us an extension of k, denoted by L-upsilon, which is the fixed field of F-upsilon module F-q*. We define a (upsilon, n, M)-extension to be the composite N = k(n)k(Lambda (m))L-upsilon where k(n) is the constant field of degree n over k. In this paper we give analytic class number formulas for (upsilon, n, M)-extensions when M has a nonzero constant term.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/65173

Journal

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1017/s0004972700019080

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
Geometric invariant theory and Einstein-Weyl geometry Kalafat, Mustafa (Elsevier BV, 2011-01-01) In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.
Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem Dosi (Dosiev), A. A. (IOP Publishing, 2009-11-01) We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
On the Krall-type polynomials on q-quadratic lattices Alvarez-Nodarse, R.; Adiguzel, R. Sevinik (Elsevier BV, 2011-08-01) In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. (C) 2011 Royal Net...
Hilbert functions of Gorenstein monomial curves Arslan, Feza; Mete, Pinar (American Mathematical Society (AMS), 2007-01-01) It is a conjecture due to M. E. Rossi that the Hilbert function of a one-dimensional Gorenstein local ring is non-decreasing. In this article, we show that the Hilbert function is non-decreasing for local Gorenstein rings with embedding dimension four associated to monomial curves, under some arithmetic assumptions on the generators of their de. ning ideals in the non-complete intersection case. In order to obtain this result, we determine the generators of their tangent cones explicitly by using standard b...

Citation Formats

O. Alkam and M. Bilhan, “Class number of (v, n, M)-extensions,” BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, pp. 21–34, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65173.