4 papers
On a certain arithmetic function defined via Bernoulli numbers
Andrei R. Svinin
We investigate the integrality property of an arithmetic function defined on the set of odd numbers . It is constructed via Bernoulli numbers. As a result, we show that th…
Invariants for a family of discrete equations with the Laurent property
Andrei K Svinin
Recently, we have found an infinite family of homogeneous discrete equations of odd order possessing the Laurent property. The first representative of this family is the well-known…
An infinite family of homogeneous discrete equations with the Laurent property
Andrei K. Svinin
We present and investigate a new infinite family of homogeneous equations which possess the Laurent property. The first representative in this family is the well-known Somos-5 recu…
Volterra map and related recurrences
Andrei K. Svinin
In this paper we analyze recent work \cite{Hone1} by Hone, Roberts and Vanhaecke, where the so-called Volterra map was introduced via the Lax equation that looks similar to the Lax…