Exponential and Character Sums
    During the semester, we will study chapters
from the following lecture notes (under preparation):
   
Lecture Notes
   
Thematics
    Additional materials:
   
Summing over General Functions of Primes
    Videos:
   
Functions as Sums of Exponentials
   
Complex Fourier Series
   
Parseval's Theorem
   
Primes, exponential sums, and L-functions
   
Arithmetic Harmonic Analysis
   
Gauss sums
   
Top ten open problems in number theory
    Problems:
   
I. E. Shparlinski, Open Problems on Exponential and Character Sums
    Papers:
   
S. Baier, Lectures on exponential sums
   
K. Conrad, Characters of finite Abelian groups
   
A. Winterhof, Incomplete additive characters and applications
   
Jegyzet magyarul (Hungarian version of the lecture notes)