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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Units in arithmetic progression in an algebraic number field


Author: Morris Newman
Journal: Proc. Amer. Math. Soc. 43 (1974), 266-268
MSC: Primary 12A45
DOI: https://doi.org/10.1090/S0002-9939-1974-0330101-2
MathSciNet review: 0330101
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Abstract: It is shown that a given algebraic number field of degree $ n \geqq 4$ over the rationals can contain at most $ n$ units in arithmetic progression, and that this bound is sharp.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0330101-2
Keywords: Algebraic number fields, units
Article copyright: © Copyright 1974 American Mathematical Society

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