Quadratic Residues and Non-Residues

512.7

Wright, Steve. Quadratic Residues and Non-Residues Selected Topics / by Steve Wright. -
XIII, 292 p. 20 illus. online resource. - (Lecture Notes in Mathematics, 2171) Content notes : Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime -- Chapter 2. Basic Facts -- Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity -- Chapter 4. Four Interesting Applications of Quadratic Reciprocity -- Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications -- Chapter 6. Elementary Proofs -- Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues -- Chapter 8. Dirichlet's Class-Number Formula -- Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression -- Chapter 10. Are quadratic residues randomly distributed? -- Bibliography. 9783319459554 * Number theory. Algebra. Field theory (Physics). Discrete groups. Fourier analysis. Number Theory. Commutative Rings and Algebras. Field Theory and Polynomials. Convex and Discrete Geometry. Fourier Analysis. * Series