15 citations · 94 across the 32 of their papers we have counts for
32 papers
On a certain arithmetic function defined via Bernoulli numbers
Andrei K. Svinin, Andrei R. Svinin
The paper defines a certain function \(χ(n)\) on the set of odd integers \(n \ge 3\). The integrality property of this function is investigated. The main result establishes 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…
Somos-4 equation and related equations
Andrei K. Svinin
The main object of study in this paper is the well-known Somos-4 recurrence. We prove a theorem that any sequence generated by this equation also satisfies Gale-Robinson one. The c…
On solutions for some class of integrable difference equations
Andrei K. Svinin
In this paper we show that an arbitrary solution of one ordinary difference equation is also a solution for a hierarchy of integrable difference equations. We also provide an examp…