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New integer representations as the sum of three cubes

Author(s): Michael Beck; Eric Pine; Wayne Tarrant; Kim Yarbrough Jensen.
Journal: Math. Comp. 76 (2007), 1683-1690.
MSC (2000): Primary 11D25; Secondary 11Y50, 11N36.
Posted: March 14, 2007
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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

DOI: 10.1090/S0025-5718-07-01947-3
PII: S 0025-5718(07)01947-3
Received by editor(s): February 7, 2002
Received by editor(s) in revised form: October 8, 2005
Posted: March 14, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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