Monday, March 13, 2023

Publication of "On Integers Whose Sum Is the Reverse of Their Product" in Fibonacci Quarterly

 

My paper with Xander Faber, "On Integers Whose Sum Is the Reverse of Their Product" has appeared in the latest issue of Fibonacci Quarterly. It is my 13th published paper.

A freely-accessible version is available at the arXiv.

Monday, August 01, 2022

Preprint of "On the Maximum Gonality of a Curve over a Finite Field" on the math arXiv

 

A preprint of my paper with Xander Faber and Everett Howe, "On the Maximum Gonality of a Curve over a Finite Field" has appeared on the math arXiv. This is the conclusion to the "Gonality Trilogy".


Sunday, July 24, 2022

"Binary curves of small fixed genus and gonality with many rational points" appears in Journal of Algebra

 

My paper with Xander Faber, "Binary curves of small fixed genus and gonality with many rational points" appeared in the 1 May 2022 issue of the Journal of Algebra. This is my 12th publication (although its print publication precedes our ternary/quaternary paper, so I will have to renumber at some point).

Monday, December 13, 2021

Preprint of "Only finitely many s-Cullen numbers are repunits for a fixed s≥2" on the math arXiv


A preprint of my paper with Michael Filaseta and Hester Graves, "Only finitely many s-Cullen numbers are repunits for a fixed s≥2" has appeared on the math arXiv. This is a sequel to an earlier paper with Hester, which proved that there were only finitely many solutions for all s, subject to the abc conjecture.

This proof is unconditional. I am now working on computations to extend 65536 to a much larger number -- it should be possible to get it into the millions.

Friday, November 19, 2021

"Proof of Two Conjectures of Andrica and Bagdasar" Appears in Integers

My paper, "Proof of Two Conjectures of Andrica and Bagdasar" has appeared in the journal Integers. It uses techniques from my earlier work to show that certain families of pseudoprimes are infinite. I hope that others find this technique useful.








Thursday, November 18, 2021

Preprint of "Finding a Widely Digitally Delicate Prime" available on the math arXiv

In September, I posted a preprint of "Finding a Widely Digitally Delicate Prime" on the math arXiv. It may not end up published in this form, but because it described the only known example of such a prime, and how I found it, I wanted to have it documented.