The Hasse principle for pairs of diagonal cubic forms

• 成果类型: Article
• 署名作者: Bruedern, Joerg; Wooley, Trevor D.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2007
• 页码: 865-895
• 关键词: slim exceptional sets; warings problem; additive equations; cubes; sums; SURFACES

摘要

By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.