4 papers · 1 filter
Why Does the Slope Definition of Work?: A Self-Contained Exploration After Real Analysis
Hung Viet Chu, Steven J. Miller, Joshua M. Siktar
Euler's number is often introduced through compound interest, an infinite series, an area, or the slope of an exponential function. The last viewpoint is especially attractive:…
Generalizing a Pair of Diophantine Equations
Hung Viet Chu, Dongho Kim, Theodore Koch +2
For coprime integers and , it is known that exactly one of the two Diophantine equations $$ ax+by\ =\ \frac{(a-1)(b-1)}{2} \qquad\text{and}\qquad 1+ax+by\ =\ \frac{(a-1)(b-1…
Counting Schreier Sets Under Neighborhood Conditions
Ben Chen, Hung Viet Chu, Corbin F. Foss +4
We count Schreier sets that satisfy a neighborhood condition, including -clustered, -consecutive-free, -neighbored, -isolated, and closed under integral -averages. F…
On Zeckendorf-Niven numbers and arithmetic progressions
Kelly Lao, Steven J. Miller, Nicholas Rosa +4
A positive integer is Zeckendorf-Niven (respectively, Lucas-Niven) if it is divisible by the number of summands in its Zeckendorf decomposition (respectively, Lucas decomposition).…