On a method of solving a class of Diophantine equations

Author:
Charles M. Grinstead

Journal:
Math. Comp. **32** (1978), 936-940

MSC:
Primary 10B20

DOI:
https://doi.org/10.1090/S0025-5718-1978-0491480-0

MathSciNet review:
0491480

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: An elementary method for solving simultaneous Diophantine equations is given. This method will in general lead quickly to a solution-free region on the order of . The method is illustrated by applying it to a set of Diophantine equations.

**[1]**A. BAKER, "Linear forms in the logarithms of algebraic numbers,"*Mathematika*, v. 15, 1968, pp. 204-216. MR**0258756 (41:3402)****[2]**A. BAKER & H. DAVENPORT, "The equations and ,"*Quart. J. Math.*, v. 20, 1969, pp. 129-137. MR**0248079 (40:1333)****[3]**M. GARDNER, "On the patterns and the unusual properties of figurate numbers,"*Sci. Amer.*, v. 231, no. 1, 1974, pp. 116-121.**[4]**P. KANAGASABAPATHY & T. PONNUDURAI, "The simultaneous diophantine equations and ,"*Quart. J. Math.*, v. 26, 1975, pp. 275-278. MR**0387182 (52:8027)****[5]**GIOVANNI SANSONE, "Il sistema diofanteo , , ,"*Ann. Mat. Pura Appl.*(4), v. 111, 1976, pp. 125-151. MR**0424672 (54:12631)**

Retrieve articles in *Mathematics of Computation*
with MSC:
10B20

Retrieve articles in all journals with MSC: 10B20

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0491480-0

Keywords:
Diophantine equations,
linear recurrent sequences

Article copyright:
© Copyright 1978
American Mathematical Society