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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Trigonometric approximation and uniform distribution modulo one


Author: Todd Cochrane
Journal: Proc. Amer. Math. Soc. 103 (1988), 695-702
MSC: Primary 11K06; Secondary 11A07
MathSciNet review: 947641
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Abstract: We construct $ n$-dimensional versions of the Beurling and Selberg majorizing and minorizing functions and use them to prove results on trigonometric approximation and to prove an $ n$-dimensional version of the Erdös-Turán inequality. Finally, an application is given to counting solutions of polynomial congruences.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947641-5
PII: S 0002-9939(1988)0947641-5
Article copyright: © Copyright 1988 American Mathematical Society