Density bounds for the sum of divisors function
HTML articles powered by AMS MathViewer
- by Charles R. Wall, Phillip L. Crews and Donald B. Johnson PDF
- Math. Comp. 26 (1972), 773-777 Request permission
Erratum: Math. Comp. 31 (1977), 616.
Abstract:
Upper and lower bounds are presented for the density of the integers $n$ for which $\sigma (n)/n \geqq x$, where $\sigma (n)$ is the sum of divisors of $n$, and $1 \leqq x \leqq 5$.References
- F. Behrend, “Über ’numeri abundantes.’ II,” Preuss. Akad. Wiss. Sitzungsber., v. 6, 1933, pp. 280-293.
H. Davenport, “Über ’numeri abundantes,’ “ Preuss. Akad. Wiss. Sitzungsber., v. 26/29, 1933, pp. 830-837.
C. Wall, Topics Related to the Sum of Unitary Divisors of an Integer, Ph.D. Dissertation, University of Tennessee, Knoxville, Tenn., 1970.
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 773-777
- MSC: Primary 10H25; Secondary 10L10
- DOI: https://doi.org/10.1090/S0025-5718-1972-0327700-7
- MathSciNet review: 0327700