Trigonometric polynomials and lattice points
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- by J. Cilleruelo and A. Córdoba PDF
- Proc. Amer. Math. Soc. 115 (1992), 899-905 Request permission
Abstract:
In this paper we study the distribution of lattice points on arcs of circles centered at the origin. We show that on such a circle of radius $R$, an arc whose length is smaller than $\sqrt 2 {R^{1/2 - 1(4[m/2] + 2)}}$ contains, at most, $m$ lattice points. We use the same method to obtain sharp ${L^4}$-estimates for uncompleted, Gaussian sumsReferences
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 899-905
- MSC: Primary 11P21
- DOI: https://doi.org/10.1090/S0002-9939-1992-1089403-8
- MathSciNet review: 1089403