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Browse Dissertations and Theses  Mathematics by Title
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(20100519)We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously found congruences for the partition function like p(5n+4) = 0 mod 5. For a wide class of modular forms, we classify the ...
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(20100519)Two Banach spaces X and Y are said to be almost isometric if for every λ > 1 there exists a λisomorphism f : X → Y . That is, a linear surjective map such that 1/λ ∥x∥ ≤ ∥f (x)∥ ≤ λ ∥x∥ for every x ∈ X . In this thesis ...
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(1995)Various topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give a new proof of Ramanujan's famous partition identity modulo 5 (see (1.1)). This proof is an improvement of W. N. Bailey's ...
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(1984)We consider the problem (DELTA)('2)(w(x,y)) = 0, w((+OR)1,y) = w(,x)((+OR)1,y) = 0 with boundary conditions w(,xx)(x,0) = f(x) w(,yy)(x,0) = g(x) on the semiinfinite strip 1 (LESSTHEQ) x (LESSTHEQ) 1, 0 < y.
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(1995)This thesis deals with three main extremal problems on convex lattice polygons in the plane. A convex lattice polygon is the intersection of a compact convex set with the integer lattice (the set of all points with integer ...
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(20120206)The origin of these investigations was the successful attempt by myself and coauthors to generalize rational equivalences of two constructions which suggest possible definitions of deRham cohomology of “brave new” rings, ...
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(20110826)In this thesis we consider several extremal problems for graphs and hypergraphs: packing, domination, and coloring. Graph packing problems have many applications to areas such as scheduling and partitioning. We consider a ...
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Now showing items 120139 of 802