Skip to main content
    • Aa
    • Aa

Simultaneous Pellian equations

  • R. G. E. Pinch (a1)

In this paper we describe a method for finding integer solutions of simultaneous Pellian equations, that is, integer triples (x, y, z) satisfying equations of the form

where the coefficients a, b, c, d, f are integers and we assume that a, c, and ac are not square.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[4] A. Baker and H. Davenport . On the equations 3x2 − 2 = y2 and 8x2 − 7 = z2. Quart. J. Math. Oxford Ser. (2) 20 (1969), 129137.

[8] E. Brown . Sets in which xy + k is always a square. Math. Comp. 45 (1985), 613620.

[9] C. M. Grinstead . On a method of solving a class of Diophantine equations. Math. Comp. 32 (1978), 936940.

[10] P. Kiss . On common terms of linear recurrences. Acta Math. Acad. Sci. Hungar. 40 (1982), 119123.

[13] M. Mignotte . Intersection des images de certaines suites récurrentes linéaires. Theoret. Comput. Sci. 7 (1978), 117122.

[24] D. Zagier . Large integral points on elliptic curves. Math. Comp. 48 (1987), 425436

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 6 *
Loading metrics...

Abstract views

Total abstract views: 103 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 26th July 2017. This data will be updated every 24 hours.