Browsing Mathematics (Faculty of) by Subject "Number theory"
Now showing items 14 of 4

Applications of the minimal modelprogram in arithmetic dynamics
(University of Waterloo, 20210907)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 pullback action on divisors. ... 
Generalizations of the Gap Principle and the ThueSiegel Principle, with Applications to Diophantine Equations
(University of Waterloo, 20190716)In this thesis we develop generalizations of two wellknown principles from the theory of Diophantine approximation, namely the gap principle and the ThueSiegel principle. Our results find their applications in the theory ... 
On the ErdösTurán conjecture and related results
(University of Waterloo, 20110829)The ErdösTurán 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
(University of Waterloo, 20111219)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 ...