Exponential Sums Over Multiplicative Groups in Fields of Prime Order and Related Combinatorial Problems

Author: 
Sergei Konyagin
Date: 
Thu, Apr 1, 2004
Location: 
University of British Columbia, Vancouver, Canada
Conference: 
PIMS Distinguished Chair Lectures
Abstract: 

Let TeX Embedding failed! be a prime. The main subject of my talks is the estimation of exponential sums over an arbitrary subgroup TeX Embedding failed! of the multiplicative group TeX Embedding failed!:

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These sums have numerous applications in additive problems modulo TeX Embedding failed!, pseudo-random generators, coding theory, theory of algebraic curves and other problems.

Notes: