2 papers
math.NT2015
Representation of Integers by Ternary Quadratic Forms: A Geometric Approach
Gabriel Durham
In 1957 N.C. Ankeny provided a new proof of the three squares theorem using geometry of numbers. This paper generalizes Ankeny's technique, proving exactly which integers are repre…
math.NT2015
A Generalization of Mordell to Ternary Quadratic Forms
Sarah Blackwell, Gabriel Durham, Katherine Thompson +1
Mordell in 1958 gave a new proof of the three squares theorem. We generalize those techniques to characterize the integers represented by the remaining six "Ramanujan-Dickson terna…