Author:
Brüdern Jörg,Wooley Trevor D.
Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Systems of cubic forms in many variables;Journal für die reine und angewandte Mathematik (Crelles Journal);2019-12-01
2. Cubic moments of Fourier coefficients and pairs of diagonal quartic forms;Journal of the European Mathematical Society;2015
3. Subconvexity for additive equations: Pairs of undenary cubic forms;Journal für die reine und angewandte Mathematik (Crelles Journal);2014-01-01