On Elliptic Curves, the ABC Conjecture, and Polynomial Threshold Functions
by Kane, Daniel Mertz, Ph.D., HARVARD UNIVERSITY, 2011, 334 pages; 3462779

Abstract:

We present a number of papers on topics in mathematics and theoretical computer science. Topics include: a problem relating to the ABC Conjecture, the ranks of 2-Selmer groups of twists of an elliptic curve, the Goldbach problem for primes in specified Chebotarev classes, explicit models for Deligne-Lusztig curves, constructions for small designs, noise sensitivity bounds for polynomials threshold functions, and pseudo-random generators for polynomial threshold functions.

 
AdviserBarry Mazur
SchoolHARVARD UNIVERSITY
SourceDAI/B 72-09, p. , Jul 2011
Source TypeDissertation
SubjectsApplied mathematics; Computer science
Publication Number3462779
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