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Sums of the Divisor Function

Published online by Cambridge University Press:  20 November 2018

B. Gordon  and
K. Rogers
B. Gordon
Affiliation:
University of California Los Angeles, California
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Shapiro and Warga (2) have proved in an elementary way that all large integers are expressible as the sum of at most 20 primes. In so doing, they proved that

as x —> ∞, where u is a positive square-free integer,

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 151 - 158
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers, 4th ed. (Oxford, 1960).Google Scholar
2. Shapiro, H. N. and Warga, J., On the representation of large integers as sums of primes I, Comm. Pure Appl. Math., 3 (1950), 153–176.Google Scholar