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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Solutions of the Diophantine equation $ A\sp{4}+B\sp{4}=C\sp{4}+D\sp{4}$


Author: Aurel J. Zajta
Journal: Math. Comp. 41 (1983), 635-659
MSC: Primary 11D25
MathSciNet review: 717709
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Abstract: A survey is presented of the more important solution methods of the equation of the title. When space permits, a brief description of the methods and numerical examples are also given. The paper concludes with an incomplete list of 218 primitive nontrivial solutions in rational integers not exceeding $ {10^6}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1983-0717709-0
PII: S 0025-5718(1983)0717709-0
Article copyright: © Copyright 1983 American Mathematical Society