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Diophantine inequalities for ternary diagonal forms

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Damaris Schindler
Utrecht University
Mon, 2018-09-03 14:10 - 14:55
MPIM Lecture Hall

We discuss small solutions to ternary diagonal inequalities of any degree where all of the variables are assumed to be of size $P$. We study this problem on average over a one-parameter family of forms and discuss a generalization of work of Bourgain on generic ternary diagonal quadratic forms to higher degree.

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