has appeared in Experimental Mathematics online. Based on my estimate of the journal's backlog, I expect print publication in 2023.
Friday, September 03, 2021
"Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points" Appears Online in Experimental Mathematics
"The abc Conjecture Implies That Only Finitely Many s-Cullen Numbers Are Repunits" Appears in the Journal of Integer Sequences
This is my ninth journal article published.
Have you ever noticed that 9+9=18, while 9x9=81, which is 18 backwards? My co-author's kids did. The question of what other pairs of numbers a and b have a+b equal to axb backwards led us to write this paper. We give a technique for solving it in all bases. We have seen a list of these numbers in base 10 on the web, but we are aware of no other proof.
Monday, February 08, 2021
What's even better than writing a paper? Having someone else write one answering a question you asked. In "Ternary and Quaternary Curves of Small Fixed Genus and Gonality with Many Rational Points," Xander Faber and I conjectured:
In a recent preprint, Floris Vermeulen proved this conjecture.