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 -