Now showing items 1-4 of 4

    • Applications of the minimal modelprogram in arithmetic dynamics 

      Nasserden, Brett (University of Waterloo, 2021-09-07)
      Let F be a surjective endomorphism of a normal projective variety X defined over a number field. The dynamics of F may be studied through the dynamics of the linear action of an associated linear pull-back action on divisors. ...
    • Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations 

      Mosunov, Anton (University of Waterloo, 2019-07-16)
      In this thesis we develop generalizations of two well-known principles from the theory of Diophantine approximation, namely the gap principle and the Thue-Siegel principle. Our results find their applications in the theory ...
    • On the Erdös-Turán conjecture and related results 

      Xiao, Stanley Yao (University of Waterloo, 2011-08-29)
      The Erdös-Turán Conjecture, posed in 1941 in, states that if a subset B of natural numbers is such that every positive integer n can be written as the sum of a bounded number of terms from B, then the number of such ...
    • A survey of Roth's Theorem on progressions of length three 

      Nishizawa, Yui (University of Waterloo, 2011-12-19)
      For any finite set B and a subset A⊆B, we define the density of A in B to be the value α=|A|/|B|. Roth's famous theorem, proven in 1953, states that there is a constant C>0, such that if A⊆{1,...,N} for a positive integer ...


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