On Sequences of Squares with Constant Second Differences

DOI10.4153/CMB-2006-047-9zbMath1142.11011OpenAlexW2041202338MaRDI QIDQ3594347

Juliusz Brzezinski, Jerzy Browkin

Publication date: 7 August 2007

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2006-047-9

zbMATH Keywords

second differencen squares problemsequence of squares

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Special sequences and polynomials (11B83)

Related Items (8)

A survey on Büchi's problem: new presentations and open problems ⋮ Representation of squares by monic second degree polynomials in the field of 𝑝-adic meromorphic functions ⋮ On Büchi's \(K3\) surface ⋮ An extension of Büchi’s problem for polynomial rings in zero characteristic ⋮ The analogue of Büchi's problem for function fields ⋮ Powerful values of polynomials and a conjecture of Vojta ⋮ Büchi’s Problem in Modular Arithmetic for Arbitrary Quadratic Polynomials ⋮ Quadratic sequences of powers and Mohanty’s conjecture

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