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math.NT2026
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…
nlin.SI2026
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…
nlin.SI2026
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…