4 citations · 15 across the 40 of their papers we have counts for
12 papers · 1 filter
When the Large Divisors of a Natural Number Are in Arithmetic Progression
Hung Viet Chu
Iannucci considered the positive divisors of a natural number that do not exceed the square root of and found all numbers whose such divisors are in arithmetic progression.…
Higher Order Fibonacci Sequences from Generalized Schreier sets
Hung Viet Chu, Steven J. Miller, Zimu Xiang
A Schreier set is a subset of the natural numbers with . It has been known that the sequence , where $$a_{1,n}\ :=\ |\{S\subseteq \mathbb{N}\,:\,\max…
A New Transcendental Number from
Hung Viet Chu
We first give a summary of the history of transcendental numbers then use a nice technique by G. Dresden to prove a new transcendental number. In particular, while previous work lo…
Squaring the Circle Revisited
Hung Viet Chu
Squaring the circle is impossible, but it can be squared approximately. Ramanujan gave a construction correct to eight decimal places. In his book Mathographics, Dixon gave constru…
On Sets with More Products than Quotients
Hung Viet Chu
Given a finite set , define \begin{align*}&A\cdot A \ =\ \{a_i\cdot a_j\,|\, a_i,a_j\in A\},\\ &A/A \ =\ \{a_i/a_j\,|\,a_i,a_j\in A\},\\ &A + A…
The Fibonacci Sequence and Schreier-Zeckendorf Sets
Hung Viet Chu
A finite subset of the natural numbers is weak-Schreier if , strong-Schreier if , and maximal if . Let be the number of weak-Schreie…