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(2012)JOURNAL OF ALGEBRA.361.p.172-187 Mark abstract Let K be a p-adic field (a finite extension of some Q_p) and let K(t) be the field of rational functions over K. We define a kind of quadratic reciprocity symbol for polynomials over K and apply it to prove isotropy for a certain class of quadratic forms over K(t). Using this result, we give an existential definition for the predicate “v_t(x) >= 0” in K(t). This implies undecidability of diophantine equations over K(t).

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-4128132



Autor: Claudia Degroote and Jeroen Demeyer

Fuente: https://biblio.ugent.be/publication/4128132



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