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Matematicheskie Zametki, 2011, Volume 89, Issue 3, Pages 350–354
DOI: https://doi.org/10.4213/mzm8637 (Mi mzm8637) 		 
An Example Related to the Sidon Property for $m$-Dependent Systems

V. F. Gaposhkina, Yu. S. Semenov

a Moscow State University of Railway Communications
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DOI: https://doi.org/10.4213/mzm8637
Abstract: 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, Laurent polynomial, Rademacher system.
Received: 26.06.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 3, Pages 336–339
DOI: https://doi.org/10.1134/S0001434611030047
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. F. Gaposhkin, Yu. S. Semenov, “An Example Related to the Sidon Property for $m$-Dependent Systems”, Mat. Zametki, 89:3 (2011), 350–354; Math. Notes, 89:3 (2011), 336–339
Citation in format AMSBIB
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