16 citations · 33 across the 22 of their papers we have counts for
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Cosine polynomials with few zeros
Tomas Juškevičius, Julian Sahasrabudhe
In a celebrated paper, Borwein, Erdélyi, Ferguson and Lockhart constructed cosine polynomials of the form \[ f_A(x) = \sum_{a \in A} \cos(ax), \] with , $|A|…
A characterization of polynomials whose high powers have non-negative coefficients
Marcus Michelen, Julian Sahasrabudhe
Let be a polynomial with real coefficients. We say that is eventually non-negative if has non-negative coefficients for all sufficiently large $m \i…
Flat Littlewood Polynomials Exist
Paul Balister, Béla Bollobás, Robert Morris +2
We show that there exist absolute constants such that, for all , there exists a polynomial of degree , with coefficients, such that $$δ\sqrt…
Counting Zeros of Cosine Polynomials: On a Problem of Littlewood
Julian Sahasrabudhe
We show that if is a finite set of non-negative integers then the number of zeros of the function \[ f_A(θ) = \sum_{a \in A} \cos(aθ), \] in , is at least $(\log \log \…