A partition result for algebraic varieties

Aner Shalev

doi:10.1090/S0002-9939-1991-1042273-5

A partition result for algebraic varieties

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	709-716
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	111
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1991-1042273-5
State	Published - Mar 1991

Keywords

Cosine polynomial
First sign changes
Frequencies
Zeros

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10.1090/S0002-9939-1991-1042273-5

Cite this

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KW - Cosine polynomial

KW - First sign changes

KW - Frequencies

KW - Zeros

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A partition result for algebraic varieties

Abstract

Keywords

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