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

DOI:
https://doi.org/10.1090/S0002-9947-1954-0060532-1

MathSciNet review:
0060532

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References | Similar Articles | Additional Information

**[1]**Richard Bellman,*On some divisor sums associated with Diophantine equations*, Quart. J. Math., Oxford Ser. (2)**1**(1950), 136–146. MR**0036255**, https://doi.org/10.1093/qmath/1.1.136**[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****[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**

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DOI:
https://doi.org/10.1090/S0002-9947-1954-0060532-1

Article copyright:
© Copyright 1954
American Mathematical Society