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

Revista Matemática de la Universidad Complutense de Madrid (1995)

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

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topAlex, 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 < 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 < 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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