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)