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Asymptotic Formulae for Pairs of Diagonal Cubic Equations
Published online by Cambridge University Press: 20 November 2018
Abstract
We investigate the number of integral solutions possessed by a pair of diagonal cubic equations in a large box. Provided that the number of variables in the system is at least fourteen, and in addition the number of variables in any non-trivial linear combination of the underlying forms is at least eight, we obtain an asymptotic formula for the number of integral solutions consistent with the product of local densities associated with the system.
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- Copyright © Canadian Mathematical Society 2011
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