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| Title Details: | |
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Quadratic residues , roots, indices and applications |
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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: |
Quadratic congruences, the quadratic reciprocity law.
Infinite primes in certain congruence classes mod m. Quadratic residues with respect to a composite integer. n-residues roots and indices. Artin conjecture. Applications of index theory to the solution of linear congruences, quadratic residues, exponential residues and computation of orders mod m when (a,m)=1. Primality testing (Solovey-Strassen and Agrawal, Kayal and Saxena on "Primes in P",2002.) |
| 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/11419/112 |
| Bibliographic Reference: | Antoniadis, I., & Kontogeorgis, A. (2015). Quadratic residues , roots, indices and applications [Chapter]. In Antoniadis, I., & Kontogeorgis, A. 2015. Number Theory and Applications [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/112 |
| Language: |
Greek |
| Is Part of: |
Number Theory and Applications |
| Publication Origin: |
Kallipos, Open Academic Editions |