New integer representations as the sum of three cubes
Authors:
Michael Beck, Eric Pine, Wayne Tarrant and Kim Yarbrough Jensen
Journal:
Math. Comp. 76 (2007), 1683-1690
MSC (2000):
Primary 11D25; Secondary 11Y50, 11N36.
DOI:
https://doi.org/10.1090/S0025-5718-07-01947-3
Published electronically:
March 14, 2007
MathSciNet review:
2299795
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We describe a new algorithm for finding integer solutions to 
for specific values of 
. We use this to find representations for values of 
for which no solution was previously known, including 
and 
.
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on a Vector Computer, Mathematics of Computation 61 (1993), 235-244. 
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, Journal of the London Mathematical Society 30 (1955), 101-110. 
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, Mathematics of Computation 42 (1984), 235-237. Retrieve articles in Mathematics of Computation with MSC (2000): 11D25, 11Y50, 11N36.
Retrieve articles in all journals with MSC (2000): 11D25, 11Y50, 11N36.
Additional Information
Michael Beck
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email:
mbeck@math.uga.edu
Eric Pine
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email:
epine@math.uga.edu
Wayne Tarrant
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
Kim Yarbrough Jensen
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
DOI:
https://doi.org/10.1090/S0025-5718-07-01947-3
Received by editor(s):
February 7, 2002
Received by editor(s) in revised form:
October 8, 2005
Published electronically:
March 14, 2007
Article copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
