An extension of Büchi’s problem for polynomial rings in zero characteristic

DOI10.1090/S0002-9939-09-10259-9zbMath1222.11146OpenAlexW1973478971MaRDI QIDQ3558983

Hector Pasten

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10259-9

zbMATH Keywords

Büchi's \(n\)-squares problem over a ring \(A\)Hensley's form for Büchi's problemring of polynomials over a field of characteristic \(0\)

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability and field theory (12L05) Polynomials in number theory (11C08)

Related Items (6)

A survey on Büchi's problem: new presentations and open problems ⋮ HENSLEY'S PROBLEM FOR FUNCTION FIELDS ⋮ Generalized Büchi's problem for algebraic functions and meromorphic functions ⋮ Hensley's problem for complex and non-Archimedean meromorphic functions ⋮ The analogue of Büchi's problem for function fields ⋮ Powerful values of polynomials and a conjecture of Vojta

Cites Work

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• The analogue of Büchi's problem for cubes in rings of polynomials
• Integer Squares with Constant Second Difference
• THE ANALOGUE OF BÜCHI'S PROBLEM FOR RATIONAL FUNCTIONS
• On Sequences of Squares with Constant Second Differences
• Hilbert's Tenth Problem is Unsolvable
• Extensions of Büchi's problem: Questions of decidability for addition and kth powers
• Squares in Quadratic Progression

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