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    • 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 ...
    • Some results on binary forms and counting rational points on algebraic varieties 

      Xiao, Stanley Yao (University of Waterloo, 2016-08-17)
      In this thesis we study several problems related to the representation of integers by binary forms and counting rational points on algebraic varieties. In particular, we establish an asymptotic formula for $R_F(Z)$, the ...

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