A partition result for algebraic varieties

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageAmerican English
Pages (from-to)709-716
Number of pages8
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - Mar 1991


  • Cosine polynomial
  • First sign changes
  • Frequencies
  • Zeros


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