Aspects of Kloosterman Sums

Explore the mathematical properties and applications of Kloosterman sums in this hour-long conference talk presented at ICBS2025. Delve into the various aspects of these important exponential sums, which play a crucial role in analytic number theory and have connections to modular forms, L-functions, and arithmetic geometry. Examine the theoretical foundations, computational methods, and recent developments in the study of Kloosterman sums, gaining insights into their significance in modern mathematical research and their applications across different areas of mathematics.