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Department of Mathematical Sciences

Seminars

This week's seminars

Arithmetic Study Group: The t-adic Littlewood conjecture is false

Presented by Erez Nesharim, University of York

20 February 2018 14:00 in CM219

The Littlewood and the p-adic Littlewood conjectures are famous open problems on the border between number theory and dynamics. In a joint work with Faustin Adiceam and Fred Lunnon we show that the analogue of the p-adic Littlewood conjecture over function fields is false over \mathbb{F}_3((1/t)). The counterexample is given by the series whose coefficients are the regular paper folding sequence, and the method of proof is by reduction to the non vanishing of certain Hankel determinants. The proof is computer assisted and uses substitution tilings of \mathbb{Z}^2 and a generalisation of Dodson's condensation algorithm for computing the determinant of a matrix.

Contact pankaj.vishe@durham.ac.uk or athanasios.bouganis@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.