On elliptic curves, the abc conjecture, and polynomial threshold functions

On elliptic curves, the abc conjecture, and polynomial threshold functions(2011)

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摘要
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.
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关键词
Deligne-Lusztig curve,elliptic curve,polynomials threshold function,polynomial threshold function,Goldbach problem,2-Selmer group,pseudo-random generator,explicit model,abc conjecture,noise sensitivity bound,ABC Conjecture
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