The goal of the thesis is to understand Stepanov’s method, which is used to prove in an elementary way the Riemann hypothesis for curves over finite fields. We also study how curves and exponential sums are related, and examine other interesting applications of the method such as Heath-Brown’s estimate for Heilbronn’s exponential sum.

Exponential sums over finite fields and Stepanov's method

Chicharro Gordo, Diego
2021/2022

Abstract

The goal of the thesis is to understand Stepanov’s method, which is used to prove in an elementary way the Riemann hypothesis for curves over finite fields. We also study how curves and exponential sums are related, and examine other interesting applications of the method such as Heath-Brown’s estimate for Heilbronn’s exponential sum.
2021-07-21
76
Exponential sums, Stepanov's method, curves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/21368