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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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
    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
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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