On the diophantine equation x²+x+1 = yz

A. Schinzel

Colloquium Mathematicae (2015)

  • Volume: 141, Issue: 2, page 243-248
  • ISSN: 0010-1354

Abstract

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All solutions of the equation x²+x+1 = yz in non-negative integers x,y,z are given in terms of an arithmetic continued fraction.

How to cite

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A. Schinzel. "On the diophantine equation x²+x+1 = yz." Colloquium Mathematicae 141.2 (2015): 243-248. <http://eudml.org/doc/284061>.

@article{A2015,
abstract = {All solutions of the equation x²+x+1 = yz in non-negative integers x,y,z are given in terms of an arithmetic continued fraction.},
author = {A. Schinzel},
journal = {Colloquium Mathematicae},
keywords = {inhomogeneous quadratic Diophantine equation; continued fraction},
language = {eng},
number = {2},
pages = {243-248},
title = {On the diophantine equation x²+x+1 = yz},
url = {http://eudml.org/doc/284061},
volume = {141},
year = {2015},
}

TY - JOUR
AU - A. Schinzel
TI - On the diophantine equation x²+x+1 = yz
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 2
SP - 243
EP - 248
AB - All solutions of the equation x²+x+1 = yz in non-negative integers x,y,z are given in terms of an arithmetic continued fraction.
LA - eng
KW - inhomogeneous quadratic Diophantine equation; continued fraction
UR - http://eudml.org/doc/284061
ER -

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