Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Persistence of form and the value group of reducible cubics


Author: P. D. T. A. Elliott
Journal: Trans. Amer. Math. Soc. 299 (1987), 133-143
MSC: Primary 11N60; Secondary 11D85, 11K65
DOI: https://doi.org/10.1090/S0002-9947-1987-0869403-3
MathSciNet review: 869403
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is proved that the values of $ x({x^2} + c)$, $ c \ne 0$, at positive integers, multiplicatively generate the positive rationals. Analogs in rational function fields are obtained.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 11N60, 11D85, 11K65

Retrieve articles in all journals with MSC: 11N60, 11D85, 11K65


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1987-0869403-3
Article copyright: © Copyright 1987 American Mathematical Society