A generalization of a method of Mordell to ternary quadratic forms-Reference-Cited by-同舟云学术

A generalization of a method of Mordell to ternary quadratic forms

Published:2016-10-19 Issue:08 Volume:12 Page:2081-2105
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Blackwell Sarah¹,Durham Gabriel²,Thompson Katherine³^ORCID,Treece Tiffany²

Affiliation:

1. Department of Mathematics and Computer Science, Saint Louis University, 220 North Grand, Boulevard, Saint Louis, MO 63103, USA

2. Department of Mathematics, University of Georgia, Boyd Graduate Studies Research Center, Athens, GA 30602, USA

3. Department of Mathematics and Computer Science, Davidson College, Davidson, NC 28036, USA

Abstract

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 ternaries” as well as three other ternary forms.

Funder

Division of Mathematical Sciences (US)

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042116501256

Reference24 articles.

1. Sums of three squares

2. An Introduction to the Geometry of Numbers

3. Explicit upper bounds for 𝐿-functions on the critical line

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