Small Representations by Indefinite Ternary Quadratic Forms

J. B. Friedlander, Henryk Iwaniec

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

We study nonhomogeneous Pythagorean triples, that is, solutions of the diophantine equation x2 + y2 - z2 = D where D is fixed and non-zero. We are particularly concerned, for D large and positive, with counting the solutions having x, y, z, all small relative to D.

Original languageEnglish (US)
Title of host publicationNumber Theory and Related Fields
Subtitle of host publicationIn Memory of Alf van der Poorten
PublisherSpringer New York LLC
Pages157-164
Number of pages8
ISBN (Print)9781461466413
DOIs
StatePublished - Jan 1 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume43
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Friedlander, J. B., & Iwaniec, H. (2013). Small Representations by Indefinite Ternary Quadratic Forms. In Number Theory and Related Fields: In Memory of Alf van der Poorten (pp. 157-164). (Springer Proceedings in Mathematics and Statistics; Vol. 43). Springer New York LLC. https://doi.org/10.1007/978-1-4614-6642-0_7