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Abstract: . Let Kn := # pn : pn (z)= n X k=0 a k z k ,a k# C ,|a k |=1 # . Given a sequence (#n k ) of positive numbers tending to 0, we say that a sequence (Pn k ) of unimodular polynomials Pn k #K n k is (#n k )-ultraflat if (1 - #n k ) p n k +1#|P n k (z)|#(1 + #n k ) p n k +1,z##D . We study ultraflat sequences (Pn ) of unimodular polynomials Pn #K n in general, not necessarily those produced by Kahane in his paper [Ka]. We examine how far is a sequence (Pn ) of unimodular... (Update)
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BibTeX entry: (Update)
@misc{ lyi-proof,
author = "Tamás Erdélyi",
title = "A Proof Of Saffari's Orthogonality Conjecture For Ultraflat Sequences Of
Unimodular Polynomials",
url = "citeseer.ist.psu.edu/403648.html" }
Citations (may not include all citations):57 Polynomials and Polynomial Inequalities (context) - Borwein, Erdelyi - 1995
51 London Math (context) - Korner, of et al. - 1980
13 Some unsolved problems (context) - Erdos - 1957
7 Sur les polynomes a coe#cient unimodulaires (context) - Kahane - 1980
6 polynomials on the unit circle -- note on a problem of Littl.. (context) - Beck - 1991
6 How far is a sequence of ultraflat unimodular polynomials fr.. (context) - Erdelyi
5 The Phase Problem of Ultraflat Unimodular Polynomials: The R.. (context) - Erdelyi
2 the zeros of polynomials with Littlewood-type coe#cient cons.. (context) - Erdelyi
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