Browsing Pure Mathematics by Supervisor "Liu, Yu-Ru"
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Problems in Combinatorial and Analytic Number Theory
(University of Waterloo, 2018-08-01)We focus on three problems in number theory. The first problem studies the random Fibonacci tree, which is an infinite binary tree with non-negative integers at each node. The root consists of the number 1 with a single ... -
Some Problems in Multiplicative and Additive Number Theory
(University of Waterloo, 2020-07-27)In this thesis, we obtain several results in number theory. Let $k\geqslant 1$ be a natural number and $\omega_k(n)$ denote the number of distinct prime factors of a natural number $n$ with multiplicity $k$. We estimate ...