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Linear correlations of the divisor function

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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.

This talk is part of the Discrete Analysis Seminar series.

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