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Proceedings of the American Mathematical Society

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

 

 

Diophantine inequalities with mixed powers $ ({\rm mod}$ $ 1)$


Author: R. J. Cook
Journal: Proc. Amer. Math. Soc. 57 (1976), 29-34
MSC: Primary 10B45
DOI: https://doi.org/10.1090/S0002-9939-1976-0401647-5
MathSciNet review: 0401647
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Abstract: A theorem of Heilbronn on the distribution of the sequence $ {n^2}\theta \pmod 1$ is extended to sums of mixed powers.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0401647-5
Article copyright: © Copyright 1976 American Mathematical Society