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Browse Dissertations and Theses  Mathematics by Title
Now showing items 11201137 of 1137

(20180418)This thesis is motivated by the Woperators introduced by Mironov et al. We prove that the Woperators are generalizations of the cutandjoin operator studied by Goulden and Jackson. We give a new description of the ...
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(2003)Waring's problem is about representing any function in a class of functions as a sum of kth powers of nonconstant functions in the same class. We allow complex coefficients in these kind of problems. Consider i=1p1 fiz ...
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(1996)In this work we extend the idea of warped products, which was previously defined on smooth Riemannian manifolds, to geodesic metric spaces and prove the analogue of the theorems on spaces with curvature bounded from above.
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(1966)
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(1993)In the language of local algebra, the classical purity of branch locus theorem states that a module finite ring extension of local normal domains $B\to A$ which is unramified in codimension one, with B a regular local ring, ...
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(1982)The interplay between geometry, topology, measure theory and operator theory has long been evident in the study of the RadonNikodym property. Recently results of substantial interest in the structure of Banach spaces have ...
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(2003)We study a problem of finding the best constant in a weak type inequality for martingale transforms extending the result of Burkholder (1966). First, we study the inequality for the discretetime martingale case. We present ...
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(2010)A wellcentered simplex is a simplex whose circumcenter lies in its interior, and a wellcentered mesh is a simplicial mesh in which every simplex is wellcentered. We examine properties of the wellcentered simplex and ...
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(20100514)A wellcentered simplex is a simplex whose circumcenter lies in its interior, and a wellcentered mesh is a simplicial mesh in which every simplex is wellcentered. We examine properties of the wellcentered simplex and ...
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(1998)We discuss averaging methods to get Whitham equations for the KP hierarchy and use period integrals, which correspond to SW variables, in the Whitham equations. Then we study applications of the Whitham theory and formulas ...
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(1972)
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(2007)Chapter 5 is devoted to the derivation of modular equations analogous to relations given by Ramanujan in Chapter 21 of his Second Notebook. We also use trigonometric interpolation to write many of Ramanujan's identities ...
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(1980)A prime p is said to be irregular if it divides the numerator of the Bernoulli number B(,i) for some even integer i between 1 and p2. For every irregular pair (p,i) with p < 125,000 it is known that the corresponding ...
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(1995)A classical result of Jentzsch states that, for a power series with radius of convergence one, every point on the unit circle is a limit point of zeros of partial sums of the power series. In this thesis, the relationship ...
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(1990)Zeta functions have been of major importance in algebraic number theory for many years. They are useful (along with Lfunctions) in obtaining results concerning the asymptotic distribution of ideals in a given class. In ...
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(1984)The thesis deals with the theory of twosided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.
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Now showing items 11201137 of 1137