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norm form equations

Journal of the Institute of Mathematics of Jussieu (1)

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ON THE SQUARE-FREE REPRESENTATION FUNCTION OF A NORM FORM AND NILSEQUENCES
Part of
Lilian Matthiesen
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 17 / Issue 1 / February 2018

Published online by Cambridge University Press:

11 November 2015, pp. 107-135

Print publication:

February 2018
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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.