The first sign change of a cosine polynomial
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- by Jiang Zeng PDF
- Proc. Amer. Math. Soc. 111 (1991), 709-716 Request permission
Abstract:
Nulton and Stolarsky [1] studied the first (i.e., the least positive) sign change of a real cosine polynomial as a function of its smallest frequency. In the present article we will study this problem further, especially to point out that their fundamental proposition is not correct, and that therefore their principal hypothesis is unreasonable. Moreover, various results of Nulton and Stolarsky are improved or corrected and two open questions set in their paper are solved.References
- James D. Nulton and Kenneth B. Stolarsky, The first sign change of a cosine polynomial, Proc. Amer. Math. Soc. 84 (1982), no. 1, 55–59. MR 633277, DOI 10.1090/S0002-9939-1982-0633277-7 G. Polya, On polar singularities of power series, and Dirichlet series, Proc. London Math. Soc. 33 (1932), 85-101.
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 709-716
- MSC: Primary 33B10; Secondary 42A05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1000327-3
- MathSciNet review: 1000327