On Elliptic Curves, the ABC Conjecture, and Polynomial Threshold Functions.

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.