RMC - Vol. 8, Num. 1 - L. J. Alex/L. L. Foster

Full paper in PDF:
$%L. J. Alex and L. L. Foster, On the diophantine equation w+x+y=z, with wxy=2^r3^s5^t, Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 1, 13–48.%$

On the Diophantine Equation w+x+y=z, with wxy=2^r3^s5^t

Leo J. ALEX and Lorraine L. FOSTER

Department of Mathematics State University College Oneonta, New York 13820 — USA	Department of Mathematics California State University Northridge, California 91330 — USA

Received: July 22, 1993

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 $2r3s5t$ , 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.

1991 Mathematics Subject Classification: 11D25.