are multi-recurrences, i.e. polynomial-exponential functions in variables
). Under suitable (but restrictive) conditions we prove that there are finitely many multi-recurrences
such that for all solutions (
) ∈ ℕ
× ℤ we either have
Authors:Andrej Dujella, Clemens Fuchs and Robert Tichy
In this paper, we prove that there does not exist a set with more than 26 polynomials with integer coefficients, such that
the product of any two of them plus a linear polynomial is a square of a polynomial with integer coefficients.