The analogue of Büchi's problem for cubes in rings of polynomials

DOI10.2140/pjm.2008.238.349zbMath1151.03004OpenAlexW2020867354MaRDI QIDQ953160

Thanases Pheidas, Xavier Vidaux

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2008.238.349

zbMATH Keywords

cubic formsBüchi's problemHilbert's tenth problemexistential undecidability

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability and field theory (12L05) Forms of degree higher than two (11E76) Decidability of theories and sets of sentences (03B25)

Related Items (5)

A survey on Büchi's problem: new presentations and open problems ⋮ Generalized Büchi's problem for algebraic functions and meromorphic functions ⋮ 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

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