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| Title Details: | |
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Quadratic number fields |
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| Authors: |
Antoniadis, Ioannis Kontogeorgis, Aristeidis |
| Reviewer: |
Theochari Apostolidou, Theodora |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY |
| Keywords: |
Prime Numbers
Diophantine Equations Congruences Quadratic Residues Law Of Quadratic Reciprocity Primitive Roots Indexes Primality Testing Factorization Continued Fractions Pell Equation Quadratic Forms Quadratic Number Fields Coding Theory Integral Basis Discriminant Fundamental Unit Decomposition Law Class Number Pseudoprimes Carmichael Numbers Jacobi Symbol L-series Legendre Symbol Fibonacci And Lucas Numbers Cryptography |
| Description: | |
| Abstract: |
Definition of number field and properties.
Algebraic integers, integral bases, discriminant of quadratic number fields. Units of the domain of algebraic integers and class number. Correspondence of quadratic number fields and quadratic forms of given discriminant. Computation of the class number. This chapter is the natural bridge connecting elementary number theory to algebraic number theory. |
| Linguistic Editors: |
Kalliaras, Dimitris |
| Type: |
Chapter |
| Creation Date: | 08-10-2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/116 |
| Bibliographic Reference: | Antoniadis, I., & Kontogeorgis, A. (2015). Quadratic number fields [Chapter]. In Antoniadis, I., & Kontogeorgis, A. 2015. Number Theory and Applications [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/116 |
| Language: |
Greek |
| Is Part of: |
Number Theory and Applications |
| Publication Origin: |
Kallipos, Open Academic Editions |