Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415572 | Journal of Number Theory | 2013 | 19 Pages |
Abstract
Kaplansky [2003] proved a theorem on the simultaneous representation of a prime p by two different principal binary quadratic forms. Later, Brink found five more like theorems and claimed that there were no others. By putting Kaplansky-like theorems into the context of threefield identities after Andrews, Dyson, and Hickerson, we find that there are at least two similar results not on Brinkʼs list. We also show how such theorems are related to results of Muskat on binary quadratic forms.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eric Mortenson,