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- City University of New YorkUS4 papers
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4 papers · 1 filter
Maximal Sidon Sets and Matroids
J. A. Dias da Silva, Melvyn B. Nathanson
Let X be a subset of an abelian group and a_1,...,a_h,a'_1,...,a'_h a sequence of 2h elements of X such that a_1 + ... + a_h = a'_1 + ... + a'_h. The set X is a Sidon set of order…
A new upper bound for finite additive bases
Sinan Gunturk, Melvyn B. Nathanson
Let n(2,k) denote the largest integer n for which there exists a set A of k nonnegative integers such that the sumset 2A contains {0,1,2,...,n-1}. A classical problem in additive n…
Random holomorphic iterations and degenerate subdomains of the unit disk
Linda Keen, Nikola Lakic
Given a random sequence of holomorphic maps of the unit disk to a subdomain , we consider the compositions $$F_n=f_1 \circ f_{2} \circ ... f_{n-1} \circ f_…
The Geometry of Two Generator Groups: Hyperelliptic Handlebodies
Jane Gilman, Linda Keen
For two generator free Fuchsian groups, the quotient three manifold is a genus two solid handlebody and its boundary is a hyperelliptic Riemann surface. The convex core is also a h…