A twisted additive divisor problem

Abstract: We give asymptotics for a shifted convolution of sum-of-divisors functions twisted by Dirichlet characters and with nonzero powers. We'll use the technique of "automorphic regularization" to find a spectral decomposition of a combination of Eisenstein series which is not obviously square-integrable.

number theory

Audience: researchers in the topic

MIT number theory seminar

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