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An example related to the sidon property for m-dependent systems

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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 ℝ.

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References

  1. V. F. Gaposhkin, “The Sidon property for m-dependent systems,” Izv. Vyssh. Uchebn. Zaved. Mat. No. 7, 8–11 (1986) [SovietMath. (Iz. VUZ) 30 (7), 9–13 (1986)].

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Authors and Affiliations

  1. Moscow State University of Transportation (MIIT), Moscow, Russia

    V. F. Gaposhkin & Yu. S. Semenov

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  1. V. F. Gaposhkin
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  2. Yu. S. Semenov
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Correspondence to V. F. Gaposhkin.

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Original Russian Text © V. F. Gaposhkin, Yu. S. Semenov, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 3, pp. 350–354.

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Gaposhkin, V.F., Semenov, Y.S. An example related to the sidon property for m-dependent systems. Math Notes 89, 336–339 (2011). https://doi.org/10.1134/S0001434611030047

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  • DOI: https://doi.org/10.1134/S0001434611030047

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