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Browse Dissertations and Theses  Mathematics by Title
Now showing items 450469 of 1109

(1964)
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(1989)A famous theorem of P. Hall gives a necessary and sufficient condition for a bipartite graph $\Gamma$ to possess a matching f. (A bipartite graph $\Gamma$ is a subset of the cartesian product of two finite sets X and Y. A ...
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(20150121)Some of the most interesting of Ramanujan's continued fraction identities are those involving ratios of Gamma functions in Chapter 12 of his second notebook. This thesis develops a method for deriving such identities, ...
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(1997)The second part concerns the notion of complexity, a measure of the growth of the Betti numbers of a module. We show that over a complete intersection R the complexity of the tensor product $M\otimes\sb{R}N$ of two finitely ...
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(2001)The approach to the ideal membership problem for Z [X] followed here is based on some properties (such as Weierstrass Division) of the ring Z p⟨X⟩ of restricted power series with coefficients in the ring Z ...
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(2004)In Chapter 5, among other things, we give a new simple proof that ideals generated by csequences are of linear type (by adapting a theorem of K. Raghavan about dsequences), prove that initial subsequences of csequences ...
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(20150121)This thesis addresses two closely related problems about ideals of powers of linear forms. In the first chapter, we analyze a problem from spline theory, namely to compute the dimension of the vector space of trivariate ...
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(20130822)My dissertation is mainly about various identities involving theta functions and analogues of theta functions. In Chapter 1, we give a completely elementary proof of Ramanujan's circular summation formula of theta functions ...
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(1984)This paper investigates the following questions. If a compact manifold, M, with positive sectional curvature is isometrically immersed in some ambient space, N, what is the radius of the smallest ball in which its image ...
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(20100820)The main goal of this work is to improve algebraic geometric/number theoretic constructions of errorcorrecting codes and secret sharing schemes. For both objects we define parameters that indicate their effectiveness in ...
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(1980)In the notation of H. Halberstam and H.E. Richert, the small sieve estimate of Selberg is
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(1981)This thesis is divided into two parts. The first part studies the control of the maximal function of Ndimensional Brownian motion, B(,t), by the maximal function of partially observed Brownian motion. Let R denote a fixed ...
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Inequalities for the differential subordinates of Martingales, harmonic functions and Ito processes (1995)In Chapter 1 we sharpen Burkholder's inequality $\mu(\vert v\vert\geq1)\leq2\Vert u\Vert\sb1$ for two harmonic functions u and v by adjoining an extra assumption. That is, we prove the weaktype inequality $\mu(\vert ...
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Now showing items 450469 of 1109