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Short character sums evaluated at homogeneous polynomials

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  • UserRena Chu (University of Göttingen)
  • ClockWednesday 04 February 2026, 13:30-14:30
  • HouseMR4, CMS.

If you have a question about this talk, please contact Julia Wolf .

Let p be a prime. Bounding short Dirichlet character sums is a classical problem in analytic number theory, and the celebrated work of Burgess provides nontrivial bounds for sums as short as p1/4+ε for all ε>0. In this talk, we will first survey known bounds in the original and generalized settings. Then we discuss the so-called ``Burgess method’’ and present new results that rely on bounds on the multiplicative energy of certain sets in products of finite fields.

This talk is part of the Discrete Analysis Seminar series.

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