Thesis (M.S.)--Tennessee Technological University, 2009. / Title from title page screen (viewed on Aug. 26, 2009). Bibliography: leaves 50-51.

Thesis (Ph. D.)--Virginia Polytechnic Institute and State University, 1992. / Vita. Abstract. Includes bibliographical references (leaves 204-208). Also available via the Internet.

Thesis (Ph. D.)--University of Oregon, 2005. / Typescript. Includes vita and abstract. Includes bibliographical references (leaf 152). Also available for download via the World Wide Web; free to University of Oregon users.

Dans cette thèse, on démontre une conjecture de Greenberg et Benois sur les zéros triviaux des fonctions L p-adiques dans certains cas. Pour cela, on utilise la méthode de Greenberg et Stevens. Plus précisément, on démontre d'abord cette conjecture pour une forme de Hilbert de poids parallèle 2 sur un corps totalement réel où p est inerte, quand la forme est Steinberg en p et sous d'autres hypothèses sur le conducteur. Ce résultat est une généralisation de travaux non publiés de Greenberg et Tilouine. On démontre ensuite cette conjecture pour une forme modulaire elliptique de pente finie et Steinberg en p et sous des hypothèses similaires. Pour construire la fonction L p-adique en deux variables (construction nécessaire à l'utilisation de la méthode de Greenberg-Stevens), on utilise la récente théorie des formes quasisurconvergentes d'Urban. On améliore le précédent résultat en enlevant l'hypothèse de conducteur pair et en utilisant la construction de la fonction L p-adique de Böcherer et Schmidt. Dans le chapitre final, on rappelle la définition et les calculs de l'invariant ℒ de Greenberg-Benois et on explique comment certains résultats précédement énoncés peuvent être généralisés aux formes modualires de Siegel. / This thesis is devoted to the study of certain cases of a conjecture of Greenberg and Benois on derivative of p-adic L-functions using the method of Greenberg and Stevens. We first prove this conjecture in the case of the symmetric square of a parallel weight 2 Hilbert modular form over a totally real field where p is inert and whose associated automorphic representation is Steinberg in p, assuming certain hypotheses on the conductor. This is a direct generalization of (unpublished) results of Greenberg and Tilouine. Subsequently, we deal with the symmetric square of a finite slope, elliptic, modular form wich is Steinberg at p. To construct the two-variable p-adic L-function, necessary to apply the method of Greenberg and Stevens, we have to appeal to the recently developped theory of nearly overconvergent forms of Urban. We further strengthen the above result, removing the assumption that the conductor of the form is even, using the construction of the p-adic L-function by Böcherer and Schmidt. In the final chapter we recall the definition and the calculation of the algebraic ℒ-invariant à la Greenberg-Benois, and explain how some of the above-mentioned results could generalized to higher genus Siegel modular forms.

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In this paper we obtain a generalization of the well known Riesz Representation Theorem to the case where the underlying space X is an infinite dimensional product of locally compact, regular and σ-compact topological spaces. In the process we prove that our measures on X correspond to projective limit measures of projective systems of regular Borel measures on the coordinate spaces. An example is given to show that σ-compactness of the coordinate spaces is necessary. / Science, Faculty of / Mathematics, Department of / Graduate

M.Sc. / The aim of this thesis is to investigate the topic of edge-colourings of graphs in the context of hereditary graph properties. We particularly aim to investigate analogues of reducibility, unique factorization and some related concepts. Chapter 1 gives the basic definitions and terminology. A few useful general results are also stated. In Chapter 2 we define and investigate decomposability, the analogue of reducibility. Some general results are first proved, such as that the indecomposability of an additive induced-hereditary property in the lattice of such properties implies that it is indecomposable in a general sense. The decomposability of various specific properties is then investigated in the rest of the chapter. In Chapter 3 we investigate unique decomposability, the analogue of unique factorization. We give examples showing that not every additive hereditary property is uniquely decomposable, and we obtain some results on homomorphism properties which lead to the unique decomposability of Ok. We also consider some related questions, such as cancellation and preservation of strict inclusions. Chapter 4 deals with Ramsey properties. We obtain some general results and, using the so-called partite construction, we obtain a few restricted Ramsey-graph results. As a corollary, we obtain two more unique decomposability results. In Chapter 5 we obtain various bounds involving the property Vk of k-degeneracy. We also investigate the sharpness of these bounds and prove that Vk is indecomposable for every k. Chapter 6 deals with the connection between colourings of infinite graphs and properties of finite graphs. We obtain some extensions of the Compactness Principle and give an example showing that the Compactness Principle can be useful in studying finite graphs.

Ph.D. / Please refer to full text to view abstract

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yes / Fiction film is one of the most influential vehicles for the popularization of dementia. It is likely to have a particular influence on the way dementia is constructed by society at large, not least due to its consumption in the guise of entertainment. In this paper, we will argue that such popularization is rarely innocent or unproblematic. Representations of people with dementia in film tend to draw heavily on familiar tropes such as global memory loss, violence and aggression, extreme dependency on heroic carers, catastrophic prognosis, and early death. Audiences may therefore uncritically absorb discourses which reinforce negative stereotypes and perpetuate the biomedical orthodoxy that everything a person with dementia says or does is ‘a symptom of the disease.’