𝑝-Rider sets are 𝑞-Sidon sets

Lefèvre, P.; Rodríguez-Piazza, L.

doi:10.1090/S0002-9939-02-06714-X

$p$-Rider sets are $q$-Sidon sets
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by P. Lefèvre and L. Rodríguez-Piazza

Proc. Amer. Math. Soc. 131 (2003), 1829-1838

DOI: https://doi.org/10.1090/S0002-9939-02-06714-X

Published electronically: October 1, 2002

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Abstract:

The aim of this paper is to prove that for every $p<{\frac 43}$, every $p$-Rider set is a $q$-Sidon set for all $q>{\frac p{2-p}}\cdot$ This gives some positive answers for the union problem of $p$-Sidon sets. We also obtain some results on the behavior of the Fourier coefficient of a measure with spectrum in a $p$-Rider set.

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