Gröbner bases and Diophantine analysis

  • Authors:

  • Mihai Cipu

  • Affiliations:

  • Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania and Université Louis Pasteur, U. F. R. Mathématiques et Informatique, 7 rue René Desca ...

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 2008

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Abstract

A novel application of Grobner bases to study the number of positive solutions to systems of generalised Pell equations is proposed and discussed.