TY - JOUR

T1 - A partition result for algebraic varieties

AU - Shalev, Aner

PY - 1991/3

Y1 - 1991/3

N2 - 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.

AB - 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.

KW - Cosine polynomial

KW - First sign changes

KW - Frequencies

KW - Zeros

UR - http://www.scopus.com/inward/record.url?scp=84968473970&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1991-1042273-5

DO - 10.1090/S0002-9939-1991-1042273-5

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AN - SCOPUS:84968473970

SN - 0002-9939

VL - 111

SP - 709

EP - 716

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -