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1.

図書

図書
Bruce C. Berndt, Robert A. Rankin, editors
出版情報: [Providence, R.I.] : American Mathematical Society , [London] : London Mathematical Society, c2001  xvi, 347 p. ; 26 cm
シリーズ名: History of mathematics ; v. 22
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2.

図書

図書
Joseph H. Silverman
出版情報: Upper Saddle River, NJ : Prentice Hall, c2001  vii, 386 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction
What Is Number Theory? / Chapter 1.:
Pythagorean Triples / Chapter 2.:
Pythagorean Triples and the Unit Circle / Chapter 3.:
Sums of Higher Powers and Fermat's Last Theorem / Chapter 4.:
Divisibility and the Greatest Common Divisor / Chapter 5.:
Linear Equations and the Greatest Common Divisor / Chapter 6.:
Factorization and the Fundamental Theorem of Arithmetic / Chapter 7.:
Congruences / Chapter 8.:
Congruences, Powers, and Fermat's Little Theorem / Chapter 9.:
Congruences, Powers, and Euler's Formula / Chapter 10.:
Euler's Phi Function / Chapter 11.:
Prime Numbers / Chapter 12.:
Counting Primes / Chapter 13.:
Mersenne Primes / Chapter 14.:
Mersenne Primes and Perfect Numbers / Chapter 15.:
Powers Modulo m and Successive Squaring / Chapter 16.:
Computing k[superscript th] Roots Modulo m / Chapter 17.:
Powers, Roots, and "Unbreakable" Codes / Chapter 18.:
Euler's Phi Function and Sums of Divisors / Chapter 19.:
Powers Modulo p and Primitive Roots / Chapter 20.:
Primitive Roots and Indices / Chapter 21.:
Squares Modulo p / Chapter 22.:
Is - 1 a Square Modulo p? Is 2? / Chapter 23.:
Quadratic Reciprocity / Chapter 24.:
Which Primes Are Sums of Two Squares? / Chapter 25.:
Which Numbers Are Sums of Two Squares? / Chapter 26.:
The Equation X[superscript 4] + Y[superscript 4] = Z[superscript 4] / Chapter 27.:
Square-Triangular Numbers Revisited / Chapter 28.:
Pell's Equation / Chapter 29.:
Diophantine Approximation / Chapter 30.:
Diophantine Approximation and Pell's Equation / Chapter 31.:
Primality Testing and Carmichael Numbers / Chapter 32.:
Number Theory and Imaginary Numbers / Chapter 33.:
The Gaussian Integers and Unique Factorization / Chapter 34.:
Irrational Numbers and Transcendental Numbers / Chapter 35.:
Binomial Coefficients and Pascal's Triangle / Chapter 36.:
Fibonacci's Rabbits and Linear Recurrence Sequences / Chapter 37.:
Generating Functions / Chapter 38.:
Sums of Powers / Chapter 39.:
Cubic Curves and Elliptic Curves / Chapter 40.:
Elliptic Curves with Few Rational Points / Chapter 41.:
Points on Elliptic Curves Modulo p / Chapter 42.:
Torsion Collections Modulo p and Bad Primes / Chapter 43.:
Defect Bounds and Modularity Patterns / Chapter 44.:
Elliptic Curves and Fermat's Last Theorem / Chapter 45.:
Further Reading
Factorization of Small Composite Integers / Appendix A.:
A List of Primes / Appendix B.:
Index
Preface
Introduction
What Is Number Theory? / Chapter 1.:
3.

図書

図書
Michael Rosen
出版情報: New York : Springer, c2002  xii, 358 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 210
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4.

図書

図書
Dominique Foata, Guo-Niu Han (eds.)
出版情報: Berlin ; Heidelberg ; New York : Springer-Verlag, c2001  vii, 426 p. ; 24 cm
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5.

図書

図書
Sukumar Das Adhikari
出版情報: New Delhi : Narosa, c1999  xiii, 153 p. ; 24 cm
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6.

図書

図書
by J. Sándor, B. Crstici
出版情報: Dordrecht ; Boston : Kluwer Academic, c2004  637 p. ; 25 cm
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目次情報: 続きを見る
Preface
Basic Symbols
Basic Notations
Perfect Numbers: Old and New Issues: Perspectives
Generalizations and Extensions of the Mobius Function
The many Facets of Euler's Totient
Special Arithmetic Function connected with the Divisors, or with the Digits of a Number
Sterling, Bell, Bernoulli, Euler and Eulerian Numbers
Reference
Index
Preface
Basic Symbols
Basic Notations
7.

図書

図書
Fedor Bogomolov, Yuri Tschinkel, editors
出版情報: Boston : Birkhäuser, c2005  viii, 362 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 235
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8.

図書

図書
Richard K. Guy
出版情報: New York ; Tokyo : Springer, c2004  xviii, 437 p. ; 25 cm
シリーズ名: Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos
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9.

図書

図書
Cavaillès, Jean, 1903-1944
出版情報: Paris : Hermann, 1938  156 p ; 26 cm
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10.

図書

図書
editors, Alan Adolphson ... [et al.]
出版情報: Berlin : Walter de Gruyter, c2004  2 v. (xiv, 1129 p.) ; 25 cm
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