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| Authors: | P. Lefè vre L. Rodrí guez-Piazza |
| Affiliation: | Université d'Artois, Faculté Jean Perrin, rue Jean Souvraz S.P. 18 62307 Lens cedex, France ; Universidad de Sevilla, Faculdad de Matematica, Apdo 1160, 41080 Sevilla, Spain |
| Abstract: | The aim of this paper is to prove that for every  , every  -Rider set is a  -Sidon set for all  This gives some positive answers for the union problem of  -Sidon sets. We also obtain some results on the behavior of the Fourier coefficient of a measure with spectrum in a  -Rider set. |
| Keywords: | $p$-Sidon-ps $p$-Rider set $q$-Sidon set quasi-independent sets random Fourier series |
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