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 $x^3 + y^3 + z^3 = k$ for specific values of $k$. We use this to find representations for values of $k$ for which no solution was previously known, including $k=30$ and $k=52$.
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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
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.
