|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Trace functions over finite fields
If you have a question about this talk, please contact Bob Hough.
In joint works with É. Fouvry and Ph. Michel, we have begun the study of the analytic properties of “trace functions” over finite fields, which are special functions arising from algebraic objects. The talk will explain and motivate this notion, and discuss the results we have obtained (which include sums over primes of trace functions, twists of modular forms by trace functions and estimates for their uniformity norms) as well as some natural remaining analytic questions. The Riemann Hypothesis over finite fields, in its most general form due to Deligne, will play a crucial role.
This talk is part of the Discrete Analysis Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsThe History of Science Biology is Technology: The Promise, Peril, and New Business of Engineering Life Horizon Forum: The Cell-Materials Interface
Other talksQuestion writing Disablitly and Austerity: Shifting Perspectives Development of Climate Science Mixed race: the future of identity politics in Britain Langtoft’s Chronicle: Multilingualism of the Other Liquidity spillovers in the German banking system