8 citations · 9 across the 6 of their papers we have counts for
7 papers
General Boyd-Lawton Theorems with Multivariable Limits
Wayne Aitken, Kimberly Ayers, Hanson Smith
The classical Boyd-Lawton theorem concerning Mahler measures has recently been extended to multivariable limits by Brunault, Guilloux, Mehrabdollahei, and Pengo. In another directi…
Artin's First Article on the Artin L-Series (1924): Paraphrasis and Commentary
Wayne Aitken
Commentary on Emil Artin's "Uber eine neue Art von L-Reihen" (1924), including a modernized and expanded translation.
What are discrete valuation rings? What are Dedekind domains?
Wayne Aitken
This is an extended introduction to discrete valuation rings and Dedekind domains. Some natural generalizations of Dedekind domains are also (briefly) discussed including "almost D…
Report on Freely Representable Groups
Wayne Aitken
This report is an account of freely representable groups, which are finite groups admitting linear representations whose only fixed point for a nonidentity element is the zero vect…
Counterexamples to the Hasse principle
Wayne Aitken, Franz Lemmermeyer
In this article we develop counterexamples to the Hasse principle using only techniques from undergraduate number theory and algebra. By keeping the technical prerequisites to a mi…
Stability and Paradox in Algorithmic Logic
Wayne Aitken, Jeffrey A. Barrett
Type-free systems of logic are designed to consistently handle significant instances of self-reference. Some consistent type-free systems also have the feature of allowing the sort…