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On the Sum of Consecutive Primes

Published online by Cambridge University Press:  20 November 2018

L. Moser
L. Moser*
Affiliation:
University of Alberta, Research supported by American National Science Foundation
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Let A: a1 < a2 < … be a sequence of positive integers and let f(A:n) = f(n) denote the number of representations of n as the sum of one or more consecutive a's. Although f(n) will usually oscillate rapidly, an asymptotic estimate for its average value

can be obtained for many sequences A.

Type
Notes on Number Theory III
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 2 , May 1963 , pp. 159 - 161
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. LeVeque, W. J.. On representation as a sum of consecutive integers. Can. Jour. Math. 4 (1950) 399-405.Google Scholar