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Elementary number theory

By: Kraft, James S.
Contributor(s): Washington, Lawrence C.
Series: Textbooks in mathematics.Publisher: Boca Raton : CRC Press, 2015Description: xvi, 393 p.; ill., 24 cm.ISBN: 9780367240509.Subject(s): Algebra Intermediate | Number theory | Mathematics | Binet's formula | Continued fractions | Diophantine equation | Euler-Q-function | Fermat's theorem | Goldbach's conjecture | Midy's theorem | Newton-Raphson-Method | Rational Root theorem | Thue's lemma | Twin prime problem | Well-ordering principle | Zsigmondy's theorem | Cryptographic applicationsDDC classification: 512.72 Summary: Introduction. Divisibility. Linear Diophantine Equations. Unique Factorization. Applications of Unique Factorization. Congruences. Fermat, Euler, Wilson. Cryptographic Applications. Order and Primitive Roots. More Cryptographic Applications. Quadratic Reciprocity. Primality and Factorization. Sums of Squares. Arithmetic Functions. Continued Fractions. Recent Developments. Appendices. Index.
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Includes index.

Introduction. Divisibility. Linear Diophantine Equations. Unique Factorization. Applications of Unique Factorization. Congruences. Fermat, Euler, Wilson. Cryptographic Applications. Order and Primitive Roots. More Cryptographic Applications. Quadratic Reciprocity. Primality and Factorization. Sums of Squares. Arithmetic Functions. Continued Fractions. Recent Developments. Appendices. Index.

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