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Properties of Power Series RingsO'Brien, Rita Marie 08 1900 (has links)
This thesis investigates some of the properties of power series rings. The material is divided into three chapters. In Chapter I, some of the basic concepts of rings which are a prerequisite to an understanding of the definitions and theorems which follow are stated. Simple properties of power series rings are developed in Chapter II. Many properties of a ring R are preserved when we attach the indeterminant x to form the power series ring R[[x]]. Further results of power series rings are examined in Chapter III. An important result illustrated in this chapter is that power series rings possess some of the properties of rings of polynomials.
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The group of formal power series under substitutionYork, Iain O. January 1990 (has links)
No description available.
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Understanding Counterexamples to Lubin's ConjectureHeald, Andrea 01 May 2007 (has links)
My thesis deals with finding counterexamples to Lubin’s Conjecture. Lubin’s Conjecture states that for power series f, g with coefficients in Zp, and f invertible and non-torsion, g non-invertible, then if f ◦ g = g ◦ f , f , g are endomorphisms of a formal group over Zp. This conjecture connects formal power series over the ring of p-adic integers (Zp) to formal groups. In this paper I will explain the properties of Formal Groups, their endomorphisms and logarithms, and will illustrate some properties of power series over the rings Qp and Zp.
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On p-adic polynomials and power seriesChan, Man-fai, 陳文輝 January 2000 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Dirichlet series as a generalization of power seriesSanders, Hugh Alexander 08 1900 (has links)
No description available.
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On p-adic polynomials and power series /Chan, Man-fai, January 2000 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2000. / Includes bibliographical references (leaves 80-81).
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Über irreguläre Potenzreihen und Dirichletsche Reihen.Schnee, Walter, January 1908 (has links)
Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1908. / Vita.
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Properties of power-series coefficients of H²(II₊) functions and related poisson integrals with weightsSlavin, Charles Paul. January 1900 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1984. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaf: 54).
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Some Fundamental Properties of Power SeriesRogers, Curtis, A. 08 1900 (has links)
A study to deduce some fundamental properties of power series.
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On Puiseux series and resolution graphs /Neuerburg, Kent M. January 1998 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1998. / Typescript. Vita. Includes bibliographical references (leaf 93). Also available on the Internet.
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