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Three additive congruences to a large prime modulus

Part of: Diophantine equations

Published online by Cambridge University Press:  09 April 2009

O. D. Atkinson ,
J. Brüdern  and
R. J. Cook
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Abstract

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Let k ≥ 3 and n > 6k be positive integers. The equations, with integer coefficients, have nontrivial p-adic solutions for all p > Ck8, where C is some positive constant. Further, for values k≥ K we can take C = 1 + O(K-½).

MSC classification

Secondary: 11D88: $p$-adic and power series fields
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 3 , December 1993 , pp. 355 - 368
Copyright
Copyright © Australian Mathematical Society 1993

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