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Pairs of additive equations III: quintic equations

Published online by Cambridge University Press:  20 January 2009

R. J. Cook
R. J. Cook
Affiliation:
University of Sheffield, Sheffield 10.
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We consider R simultaneous equations of additive type

where the coefficients aij are integers. Artin's conjecture, for additive forms, is that the equations (1) have a non-trivial solution in integers x1,…,xN provided that they have a non-trivial real solution, which is clearly satisfied when k is odd, and

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 2 , June 1983 , pp. 191 - 211
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

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