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Fundamental Number Theory With Applications

Fundamental Number Theory With Applications

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  • ISBN:9781420066593
  • Editorial: Chapman & Hall Co.
  • Fecha de la edición:
  • Número de la edición: 2
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  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:384
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This edition removes all advanced material to be even more accessible in scope; adds new fundamental material, including partition theory, generating functions, and combinatorial number theory; and, expands coverage of random number generation, Diophantine analysis, and additive number theory. It also includes more applications to cryptography, primality testing, and factoring.

1 Arithmetic of the Integers 1
2 Modular Arithmetic 73
3 Primitive Roots 139
4 Quadratic Residues 177
5 Simple Continued Fractions and Diophantine Approximation 209
6 Additivity - Sums of Powers 243
7 Diophantine Equations 265
Appendix A Fundamental Facts 285
Appendix B Complexity 311
Appendix C Primes S; 9547 and Least Primitive Roots 313
Appendix D Indices 318
Appendix E The ABC Conjecture 319
Appendix F Primes is in P 320
Solutions to Odd-Numbered Exercises 323
Bibliography 351

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