ON THE SQUARE-FREE REPRESENTATION FUNCTION OF A NORM FORM AND NILSEQUENCES
ON THE SQUARE-FREE REPRESENTATION FUNCTION OF A NORM FORM AND NILSEQUENCES
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论范数形式和零数列的无平方表示函数
DOI:
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发表时间:
2014
影响因子:
0.9
通讯作者:
Lilian Matthiesen
中科院分区:
文献类型:
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作者:
Lilian Matthiesen
We show that the restriction to square-free numbers of the representation function attached to a norm form does not correlate with nilsequences. By combining this result with previous work of Browning and the author, we obtain an application that is used in recent work of Harpaz and Wittenberg on the fibration method for rational points.