TL;DR
This paper provides a comprehensive introduction to continued fractions, emphasizing their application in function fields, aimed at educating students through a summer course at Beihang University.
Contribution
It offers a broad overview of continued fractions with specific insights into their role in function fields, filling a gap in educational resources.
Findings
Introduces continued fractions in a clear, accessible manner
Highlights applications in function fields
Serves as educational material for a summer course
Abstract
We present a general introduction to continued fractions, with special consideration to the function fields case. These notes were prepared for a summer class given this year in Beijing at Beihang university.
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Taxonomy
TopicsHistory and Theory of Mathematics · Analytic Number Theory Research · Mathematics and Applications