Geodesic
An Example Related to the Sidon Property for $m$-Dependent Systems
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 350-354 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish a sufficient condition for an $m$-dependent system to be a Sidon system. It is proved that this condition cannot be strengthened for any natural $m$. The proof is based on the consistency of a certain system of quadratic equations over the field $\mathbb{R}$.
Keywords: $m$-dependent system, Sidon property, Sidon system, quadratic equation, random variable, Rademacher system.
Mots-clés : Laurent polynomial 
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     author = {V. F. Gaposhkin and Yu. S. Semenov},
     title = {An {Example} {Related} to the {Sidon} {Property} for $m${-Dependent} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {350--354},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a3/}
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V. F. Gaposhkin; Yu. S. Semenov. An Example Related to the Sidon Property for $m$-Dependent Systems. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 350-354. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a3/

[1] V. F. Gaposhkin, “Svoistvo Sidona dlya $m$-zavisimykh sistem”, Izv. vuzov. Matem., 1986, no. 7, 8–11 | MR | Zbl