Trigonometric approximation and uniform distribution modulo one
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- by Todd Cochrane PDF
- Proc. Amer. Math. Soc. 103 (1988), 695-702 Request permission
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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 695-702
- MSC: Primary 11K06; Secondary 11A07
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947641-5
- MathSciNet review: 947641