On the equation $\sum _{p|N}\frac 1p+\frac 1N = 1$, pseudoperfect numbers, and perfectly weighted graphs
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- by William Butske, Lynda M. Jaje and Daniel R. Mayernik PDF
- Math. Comp. 69 (2000), 407-420 Request permission
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.References
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Additional Information
- 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
- Daniel R. Mayernik
- Affiliation: Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202
- Email: mayernik@math.wayne.edu
- Received by editor(s): June 19, 1996
- Received by editor(s) in revised form: March 17, 1998
- Published electronically: August 19, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 407-420
- MSC (1991): Primary 11D68; Secondary 11Y50, 05C50
- DOI: https://doi.org/10.1090/S0025-5718-99-01088-1
- MathSciNet review: 1648363