Waring’s problem for twenty-two biquadrates
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- by Henry E. Thomas PDF
- Trans. Amer. Math. Soc. 193 (1974), 427-430 Request permission
Abstract:
That every natural number is the sum of at most twenty-two biquadrates is proven by ascent from machine results on sums of six fourth powers.References
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Emily M. Chandler, Waring’s theorem for fourth powers, Dissertation, University of Chicago, Chicago, Ill., 1933.
L. E. Dickson, Simpler proofs of Waring’s theorem on cubes with generalizations, Trans. Amer. Math. Soc. 30 (1928).
- François Dress, Sur le problème de Waring pour les puissances quatrièmes, C. R. Acad. Sci. Paris Sér. A-B 272 (1971), A457–A459 (French). MR 304311 Henry E. Thomas, Jr., A numerical approach to Waring’s problem for fourth powers, Dissertation, University of Michigan, Ann Arbor, Mich., 1973.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 193 (1974), 427-430
- MSC: Primary 10J10; Secondary 10J05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0342478-7
- MathSciNet review: 0342478