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

作者：Gaposhkin V F^*; Semenov Yu S

来源：Mathematical Notes, 2011, 89(3-4): 336-339.

DOI：10.1134/S0001434611030047

• m-dependent system
• Sidon property
• Sidon system
• quadratic equation
• random variable
• Laurent polynomial
• Rademacher system

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.

• 出版日期2011-4