### Abstract

We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the expected order of magnitude.

Original language | English |
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Pages (from-to) | 31-67 |

Number of pages | 37 |

Journal | Journal für die reine und angewandte Mathematik |

Volume | 696 |

DOIs | |

Publication status | Published - Nov 2014 |

### Keywords

- WARINGS PROBLEM
- ASYMPTOTIC FORMULAS
- CIRCLE METHOD
- 3 CUBES
- SUMS

## Cite this

Brueden, J., & Wooley, T. D. (2014). Subconvexity for additive equations: Pairs of undenary cubic forms.

*Journal für die reine und angewandte Mathematik*,*696*, 31-67. https://doi.org/10.1515/crelle-2012-0115