On the representations of an integer as the sum of products of integers
Author:
S. M. Johnson
Journal:
Trans. Amer. Math. Soc. 76 (1954), 177189
MSC:
Primary 10.0X
MathSciNet review:
0060532
Fulltext PDF Free Access
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
(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. 453478.
 [3]
, On the representations of a number as the sum of two products, Proc. London Math. Soc. (2) vol. 31 (1930) pp. 123133.
 [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. 207208.
 [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)
 [1]
 R. Bellman, On some divisor sums associated with diophantine equations, Quart. J. Math. Oxford Ser. (2) vol. 1 (1950) pp. 136146. 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. 453478.
 [3]
 , On the representations of a number as the sum of two products, Proc. London Math. Soc. (2) vol. 31 (1930) pp. 123133.
 [4]
 G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, 1938. MR 0067125 (16:673c)
 [5]
 A. E. Ingham, Some asymptotic formulae in the theory of numbers, J. London Math. Soc. vol. 2 (1927) pp. 207208.
 [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. vol. 13 (1942). MR 0007403 (4:131c)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947195400605321
PII:
S 00029947(1954)00605321
Article copyright:
© Copyright 1954
American Mathematical Society
