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Tuesday 09 November 2010, 16:00-17:00
Linear correlations of the divisor function
- đ¤ Speaker: Lilian Matthiesen (University of Cambridge)
- đ Date & Time: Tuesday 09 November 2010, 16:00 - 17:00
- đ Venue: MR4, CMS
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Tom Sanders
Abstract
In their work on linear equations in primes, Green and Tao provide a method to obtain asymptotics for linear correlations of arithmetic functions, provided those functions are sufficiently uniformly behaved. In this talk we discuss how this method can be applied to the divisor function, and possibly outline how it can be used to study the asymptotic count of integer solutions to certain pairs of diagonal quadratic equations.
Series This talk is part of the Discrete Analysis Seminar series.
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