Mathematics of Computation

On the equation $\sum _{p|N}\frac{1}{p}+\frac{1}{N}=1$ , pseudoperfect numbers, and perfectly weighted graphs

Author(s): William Butske; Lynda M. Jaje; Daniel R. Mayernik.
Journal: Math. Comp. 69 (2000), 407-420.
MSC (1991): Primary 11D68; Secondary 11Y50, 05C50
Posted: August 19, 1999
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Abstract: We present all solutions to the equation $\sum _{p|N}\frac{1}{p}+\frac{1}{N}=1$ with at most eight primes, improve the bound on the nonsolvability of the Erdös-Moser equation $\sum _{j=1}^{m-1}j^n=m^n$ , and discuss the computational search techniques used to generate examples of perfectly weighted graphs.

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William Butske
Affiliation: Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202
Address at time of publication: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
Email: butske@math.purdue.edu

Lynda M. Jaje
Affiliation: Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202
Address at time of publication: EDS Office Centre, Mailstop 2061, 300 E. Big Beaver Road, Troy, Michigan 48083
Email: lynda.jaje@eds.com

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