Some new results on equal sums of like powers

Author:
Simcha Brudno

Journal:
Math. Comp. **23** (1969), 877-880

MSC:
Primary 10.17

DOI:
https://doi.org/10.1090/S0025-5718-1969-0256991-6

MathSciNet review:
0256991

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Abstract: The Diophantine equation is examined for and and . A method for generating parametric solutions for is derived and several new numerical examples for are given. The method also applies for all other values of and possibly for values of greater than 6, too.

**[1]**E. Fauquembergue,*L'Intermédiare des Mathématiciens*, v. 21, 1914, p. 17.**[2]**L. Euler,*Novi Commentarii Acad. Petropol.*, v. 17, 1772, p. 64.**[3]**L. J. Lander, ``Geometric aspects of Diophantine equations involving equal sums of like powers,''*Amer. Math. Monthly*, v. 75, 1968, p. 1061. MR**0237428 (38:5710)****[4]**A. Gerardin,*L'Intermédiaire des Mathématiciens*, v. 24, 1917, p. 51.**[5]**K. Subba Rao, ``On sums of sixth powers,''*J. London Math. Soc.*, v. 9, 1934, p. 173.**[6]**L. J. Lander, T. R. Parkin & J. L. Selfridge, ``A survey of equal sums of like powers,''*Math. Comp.*, v. 21, 1967, pp. 446-159. MR**36**#5060. MR**0222008 (36:5060)**

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DOI:
https://doi.org/10.1090/S0025-5718-1969-0256991-6

Article copyright:
© Copyright 1969
American Mathematical Society