Positive existential definability of multiplication from addition and the range of a polynomial

We consider the problem of recovering multiplication in the integers from enrichments of its additive structure, in the positive existential context. We prove that if a conjecture by Caporaso–Harris–Mazur holds, then for all integer-valued polynomials F of degree at least 2, multiplication is positi...

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Veröffentlicht in:	Israel journal of mathematics 2016-10, Vol.216 (1), p.273-306
Hauptverfasser:	Pasten, Hector, Vidaux, Xavier
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Group Theory and Generalizations Integers Mathematical and Computational Physics Mathematics Mathematics and Statistics Multiplication Multiplication & division Polynomials Theoretical
Online-Zugang:	Volltext
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