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False Conjecture Is True ne-Way

A plausible (but false) conjecture about the maximal product of equal summands for a given sum is modified and then proven, using basic properties of continued fractions.
Old Node ID: 
3396
MSC Codes: 
11Bxx
Author(s): 
Zachary M. Franco (Butler University)
Publication Date: 
Monday, February 8, 2010
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
February, 2000
Subject(s): 
Number Patterns
Patterns and Sequences
Numbers and Computation
Topic(s): 
Partitions
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
22.00
Rating Sum: 
65.00
Rating Average: 
2.95
Applicable Course(s): 
4.3 Number Theory
2.7 Finite Math
Modify Date: 
Friday, August 24, 2012
Average: 3 (22 votes)

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