Short character sums evaluated at homogeneous polynomials

Add to your list(s) Download to your calendar using vCal

• Rena Chu (University of Göttingen)
• Wednesday 04 February 2026, 13:30-14:30
• MR4, 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 p^1/4+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.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Discrete Analysis Seminar
• Hanchen DaDaDash
• Interested Talks
• MR4, CMS
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.