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  • 1831cn31v?file=thumbnail
    Thesis
    West, Philip
    If one imagines the Gaussian primes to be lily pads in the pond of complex numbers, could a frog hop from the origin to infinity with jumps of bounded size? If the frog was confined to the real number line, the answer is no. Good heuristic arguments e . . .
  • 1831ck69c?file=thumbnail
    Thesis
    Chen, Vickie V.
    Recent progress has been made toward understanding the density that k integers are G-wise relatively prime as a limiting form of a uniform distribution motivate this work. Fix a positive integer k and let G be a simple graph with k vertices that are a . . .
  • Zs25x942g?file=thumbnail
    Thesis
    Terzian, Tammy
    In 2002 Manindra Agrawal, Neeraj Kayal, and Nitin Saxena discovered an algorithm to test a number for primality that is both deterministic and runs in polynomial time. The AKS algorithm hinges on a calculated value they call r, which is defined for a . . .