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Addendum for Frith, J. London Math. Soc. s1-12 (2) 207-212.
Journal of the London Mathematical Society 1937 s1-12(45):80; doi:10.1112/jlms/s1-12.45.80-s
© 1937 by London Mathematical Society
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© The London Mathematical Society

On the four Integer Cubes Problem

L. J. Mordell

Abstract

Prof. Landau has called my attention to H. W. Richmond's paper, "An elementary note upon Waring's problem for cubes, positive and negative", Messenger of Math., 51 (1922), 177–186. Richmond has anticipated me and my correspondents in the formulae of decomposition (3), (8), (9), (11), (13), (14), (15), (16), (17) in § 1, including in particular the formulae giving the decompositions into four integer cubes of 6k+3, 18k+1. 18k+8. The result in § 3, that corresponding formulae for 9k+4 are impossible, has also been given by him.


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