On the diophantine equation w+x+y = z, with wxyz = 2r 3s 5t.

L. J. Alex; L. L. Foster

Revista Matemática de la Universidad Complutense de Madrid (1995)

  • Volume: 8, Issue: 1, page 13-48
  • ISSN: 1139-1138

Abstract

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In this paper we complete the solution to the equation w+x+y = z, where w, x, y, and z are positive integers and wxyz has the form 2r 3s 5t, with r, s, and t non negative integers. Here we consider the case 1 < w ≤ x ≤ y, the remaining case having been dealt with in our paper: On the Diophantine equation 1+ X + Y = Z, Rocky Mountain J. of Math. This work extends earlier work of the authors in the field of exponential Diophantine equations.

How to cite

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Alex, L. J., and Foster, L. L.. "On the diophantine equation w+x+y = z, with wxyz = 2r 3s 5t.." Revista Matemática de la Universidad Complutense de Madrid 8.1 (1995): 13-48. <http://eudml.org/doc/44123>.

@article{Alex1995,
abstract = {In this paper we complete the solution to the equation w+x+y = z, where w, x, y, and z are positive integers and wxyz has the form 2r 3s 5t, with r, s, and t non negative integers. Here we consider the case 1 &lt; w ≤ x ≤ y, the remaining case having been dealt with in our paper: On the Diophantine equation 1+ X + Y = Z, Rocky Mountain J. of Math. This work extends earlier work of the authors in the field of exponential Diophantine equations.},
author = {Alex, L. J., Foster, L. L.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ecuaciones diofánticas; Función exponencial; Tablas numéricas; Grupos finitos; diophantine equation; primitive solutions; congruence-type methods},
language = {eng},
number = {1},
pages = {13-48},
title = {On the diophantine equation w+x+y = z, with wxyz = 2r 3s 5t.},
url = {http://eudml.org/doc/44123},
volume = {8},
year = {1995},
}

TY - JOUR
AU - Alex, L. J.
AU - Foster, L. L.
TI - On the diophantine equation w+x+y = z, with wxyz = 2r 3s 5t.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1995
VL - 8
IS - 1
SP - 13
EP - 48
AB - In this paper we complete the solution to the equation w+x+y = z, where w, x, y, and z are positive integers and wxyz has the form 2r 3s 5t, with r, s, and t non negative integers. Here we consider the case 1 &lt; w ≤ x ≤ y, the remaining case having been dealt with in our paper: On the Diophantine equation 1+ X + Y = Z, Rocky Mountain J. of Math. This work extends earlier work of the authors in the field of exponential Diophantine equations.
LA - eng
KW - Ecuaciones diofánticas; Función exponencial; Tablas numéricas; Grupos finitos; diophantine equation; primitive solutions; congruence-type methods
UR - http://eudml.org/doc/44123
ER -

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