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1.

図書

図書
by Leonard Eugene Dickson
出版情報: New York : Chelsea Pub. Co., 1952  xii, 486 p. ; 21 cm
シリーズ名: Carnegie Institution of Washington publication ; no. 256, v. 1
History of the theory of numbers / by Leonard Eugene Dickson ; v. 1
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2.

図書

図書
by Leonard Eugene Dickson
出版情報: New York : Chelsea Pub. Co., 1952  xxv, 803 p. ; 21 cm
シリーズ名: Carnegie Institution of Washington publication ; no. 256, v. 2
History of the theory of numbers / by Leonard Eugene Dickson ; v. 2
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3.

図書

図書
by Leonard Eugene Dickson ; with a chapter on the class number by G.H. Cresse
出版情報: New York : Chelsea Pub. Co., 1952  v, 313 p. ; 21 cm
シリーズ名: Carnegie Institution of Washington publication ; no. 256, v. 3
History of the theory of numbers / by Leonard Eugene Dickson ; v. 3
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4.

図書

図書
by I. M. Vinogradov ; translated from the Russian by Helen Popova
出版情報: London : Pergamon Press, 1955  vi, 155 p. ; 23 cm
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5.

図書

図書
Titu Andreescu, Dorin Andrica
出版情報: Boston : Birkhäuser, c2009  xviii, 384 p. ; 24 cm
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目次情報: 続きを見る
Preface
Acknowledgments
Notation
Fundamentals / I:
Divisibility / 1:
Prime Numbers / 1.1:
The Greatest Common Divisor and Least Common Multiple / 1.3:
Odd and Even / 1.4:
Modular Arithmetic / 1.5:
Chinese Remainder Theorem / 1.6:
Numerical Systems / 1.7:
Representation of Integers in an Arbitrary Base / 1.7.1:
Divisibility Criteria in the Decimal System / 1.7.2:
Powers of Integers / 2:
Perfect Squares / 2.1:
Perfect Cubes / 2.2:
kth Powers of Integers, k at least 4 / 2.3:
Floor Function and Fractional Part / 3:
General Problems / 3.1:
Floor Function and Integer Points / 3.2:
A Useful Result / 3.3:
Digits of Numbers / 4:
The Last Digits of a Number / 4.1:
The Sum of the Digits of a Number / 4.2:
Other Problems Involving Digits / 4.3:
Basic Principles in Number Theory / 5:
Two Simple Principles / 5.1:
Extremal Arguments / 5.1.1:
The Pigeonhole Principle / 5.1.2:
Mathematical Induction / 5.2:
Infinite Descent / 5.3:
Inclusion-Exclusion / 5.4:
Arithmetic Functions / 6:
Multiplicative Functions / 6.1:
Number of Divisors / 6.2:
Sum of Divisors / 6.3:
Euler's Totient Function / 6.4:
Exponent of a Prime and Legendre's Formula / 6.5:
More on Divisibility / 7:
Congruences Modulo a Prime: Fermat's Little Theorem / 7.1:
Euler's Theorem / 7.2:
The Order of an Element / 7.3:
Wilson's Theorem / 7.4:
Diophantine Equations / 8:
Linear Diophantine Equations / 8.1:
Quadratic Diophantine Equations / 8.2:
The Pythagorean Equation / 8.2.1:
Pell's Equation / 8.2.2:
Other Quadratic Equations / 8.2.3:
Nonstandard Diophantine Equations / 8.3:
Cubic Equations / 8.3.1:
High-Order Polynomial Equations / 8.3.2:
Exponential Diophantine Equations / 8.3.3:
Some Special Problems in Number Theory / 9:
Quadratic Residues; the Legendre Symbol / 9.1:
Special Numbers / 9.2:
Fermat Numbers / 9.2.1:
Mersenne Numbers / 9.2.2:
Perfect Numbers / 9.2.3:
Sequences of Integers / 9.3:
Fibonacci and Lucas Sequences / 9.3.1:
Problems Involving Linear Recursive Relations / 9.3.2:
Nonstandard Sequences of Integers / 9.3.3:
Problems Involving Binomial Coefficients / 10:
Binomial Coefficients / 10.1:
Lucas's and Kummer's Theorems / 10.2:
Miscellaneous Problems / 11:
Solutions to Additional Problems / II:
Pythagorean Equations
Glossary
Bibliography
Index of Authors
Subject Index
Preface
Acknowledgments
Notation
6.

図書

図書
山内恭彦著
出版情報: 東京 : 共立出版, 1956.4  v, 246p ; 21cm
シリーズ名: 応用数学叢書 / 山内恭彦, 小谷正雄編 ; 基礎編 第1巻
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7.

図書

図書
森本清吾著
出版情報: 東京 : 共立出版, 1953  189,5p ; 19cm
シリーズ名: 共立全書 ; 63
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8.

図書

図書
竹内端三著
出版情報: 東京 : 共立出版, 1946.11  323p ; 21cm
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9.

図書

図書
竹内端三著
出版情報: 東京 : 共立社, 1925.12  3, 4, 315, 81p ; 23cm
シリーズ名: 輓近數學叢書
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10.

図書

図書
林鶴一, 刈屋他人次郎著
出版情報: 東京 : 大倉書店, 1908.10  2, 2, 241p ; 23cm
シリーズ名: 數學叢書 ; 第6編
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