Quadratic Forms and Reciprocity
Quadratic residues, Gauss reciprocity, and class numbers.
Quadratic Forms and Reciprocity. Quadratic residues, Gauss reciprocity, and class numbers. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of quadratic forms and reciprocity approach the subject from complementary angles. Niven, An Introduction to the Theory of Numbers (1991) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for quadratic forms and reciprocity include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1991An Introduction to the Theory of Numbersniven-1991, zuckerman-1991, montgomery-1991
In context
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