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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the representations of an integer as the sum of products of integers


Author: S. M. Johnson
Journal: Trans. Amer. Math. Soc. 76 (1954), 177-189
MSC: Primary 10.0X
MathSciNet review: 0060532
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  • [1] Richard Bellman, On some divisor sums associated with Diophantine equations, Quart. J. Math., Oxford Ser. (2) 1 (1950), 136–146. MR 0036255 (12,80e)
  • [2] T. Estermann, On the representations of a number as the sum of three products, Proc. London Math. Soc. (2) vol. 29 (1929) pp. 453-478.
  • [3] -, On the representations of a number as the sum of two products, Proc. London Math. Soc. (2) vol. 31 (1930) pp. 123-133.
  • [4] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125 (16,673c)
  • [5] A. E. Ingham, Some asymptotic formulae in the theory of numbers, J. London Math. Soc. vol. 2 (1927) pp. 207-208.
  • [6] E. Landau, Vorlesungen über Zahlentheorie, New York, 1947.
  • [7] E. C. Titchmarsh, Some problems in the analytic theory of numbers, Quart. J. Math., Oxford Ser. 13 (1942), 129–152. MR 0007403 (4,131c)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1954-0060532-1
PII: S 0002-9947(1954)0060532-1
Article copyright: © Copyright 1954 American Mathematical Society