Subconvexity for additive equations: pairs of undenary cubic forms

Subconvexity for additive equations: pairs of undenary cubic forms
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DOI:
10.1515/crelle-2012-0115
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发表时间:
2012-08
期刊:
arXiv: Number Theory
影响因子:
--
通讯作者:
J. Bruedern;T. Wooley
J. Bruedern;T. Wooley
中科院分区:
其他
文献类型:
--
作者:
J. Bruedern;T. Wooley

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研究了具有积分系数的对角三次方程对。对于一类具有11个或更多变量的丢芬图系统,我们能够建立在一个大盒子中的积分解的数量至少与期望的数量级一样大。
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.