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Title Details:
Quadratic residues , roots, indices and applications
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: 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