Bibliographic Details
| Title: |
Cosine polynomials with few zeros. |
| Authors: |
Juškevičius, Tomas, Sahasrabudhe, Julian |
| Superior Title: |
Bulletin of the London Mathematical Society; Jun2021, Vol. 53 Issue 3, p877-892, 16p |
| Subject Terms: |
POLYNOMIALS, LOGICAL prediction |
| Abstract: |
In a celebrated paper, Borwein, Erdélyi, Ferguson and Lockhart constructed cosine polynomials of the form fA(x)=∑a∈Acos(ax),with A⊆N, |A|=n and as few as n5/6+o(1) zeros in [0,2π], thereby disproving an old conjecture of Littlewood. Here we give a sharp analysis of their constructions and, as a result, prove that there exist examples with as few as C(nlogn)2/3 zeros. [ABSTRACT FROM AUTHOR] |
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| Database: |
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