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(1998 / vol.1 / no.1)
Introduction to Exponential Sums
Dae San Kim
Pages. 52-57     



In this short survey paper, we show that exponential sums series
in various contexts of number theory and that they often give very interesting
results. Also, we introduce the reader to the recent development on Gauss sums
associated with representations of finite reductive groups over finite fields.



1. Introduction
2. Notations and definitions
3. Various uses of exponential sums
4. Recent development on Guass sums associated with representations of finite reductive groups over
finite fields



Gaussian sum, Kloosterman sum, Jacobi sum, Jacobsthal sum, additive character, multiplicative character, representation, reductive group, symplectic group



11L05, 11L10, 11T23, 11T24, 20