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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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(2003)We prove several infinite series identities. In Chapter 2, We extend C. L. Siegel's method of proving the Dedekindeta function transformation by integrating some selected functions over a positively oriented polygon, ...
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(20170714)This thesis focuses on the effect of takeover announcements in financial markets. We want to use a math model to analyze the inside traders' behavior when there is a potential takeover in the market. The thesis starts ...
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Now showing items 464483 of 1135