Kloosterman sums

Chanillo, Sagun

doi:10.7282/00000409

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Kloosterman sums

Chanillo, Sagun

Year: 2020

DOI: 10.7282/00000409

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Abstract

These are a set of notes that introduces the classical Kloosterman sums and proves their basic properties. Kloosterman's bound is proved for the sums which is weaker than the sharp Weil bound. Bounds due to Esterman are also proved and also Selberg's identity is proved for Kloosterman sums.

Keywords:

Kloosterman sum Identity (music) Set (abstract data type) Upper and lower bounds Type (biology)

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Analytic Number Theory Research

Physical Sciences → Mathematics → Algebra and Number Theory

Limits and Structures in Graph Theory

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

semigroups and automata theory

Physical Sciences → Computer Science → Computational Theory and Mathematics

Kloosterman sums

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