Lecture Notes on Quadratic Forms and their Arithmetic
Rainer Schulze-Pillot
TL;DR
This paper provides comprehensive lecture notes on the arithmetic properties of quadratic forms, covering fundamental concepts, classifications, and applications in number theory.
Contribution
It offers a detailed compilation of theoretical insights and educational material on quadratic forms, enhancing understanding for students and researchers.
Findings
Classified quadratic forms over various fields
Explored the relationship between quadratic forms and number theory
Presented methods for analyzing quadratic forms' arithmetic properties
Abstract
These are the notes from my courses on the arithmetic of quadratic forms.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Advanced Algebra and Geometry