Sums of cubes in polynomial rings
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- by L. N. Vaserstein PDF
- Math. Comp. 56 (1991), 349-357 Request permission
Abstract:
For any associative ring A with 1 of prime characteristic $\ne 0,2,3$, every element of A is the sum of three cubes in A.References
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K. Mahler, Note on hypothesis K of Hardy and Littlewood, J. London Math. Soc. 11 (1936), 136-138.
- L. J. Mordell, On the representation of an integer as the sum of four integer cubes, Computers in number theory (Proc. Sci. Res. Council Atlas Sympos. No. 2, Oxford, 1969) Academic Press, London, 1971, pp. 115–117. MR 0321855 R. E. A. C. Paley, Theorems on polynomials in a Galois field, Quart. J. Math. 4 (1933), 52-63.
- L. N. Vaserstein, Waring’s problem for algebras over fields, J. Number Theory 26 (1987), no. 3, 286–298. MR 901241, DOI 10.1016/0022-314X(87)90085-0
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Math. Comp. 56 (1991), 349-357
- MSC: Primary 11P05; Secondary 11C08
- DOI: https://doi.org/10.1090/S0025-5718-1991-1052104-3
- MathSciNet review: 1052104