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Chapter 27 Functions of Number Theory
T. M. Apostol
California Institute of Technology, Pasadena, California.
Thumbnail imagePrime Number Theorem

|Notation||記法|
|27.1|Special Notation|[[特殊表記>https://dlmf.nist.gov/27.1]]|
|Multiplicative Number Theory||[[関数>https://dlmf.nist.gov/27.2]]|
|27.2|Functions|[[乗法プロパティ>https://dlmf.nist.gov/27.3]]|
|27.3|Multiplicative Properties|[[オイラー製品とディリクレシリーズ>https://dlmf.nist.gov/27.4]]|
|27.4|Euler Products and Dirichlet Series|[[反転式>https://dlmf.nist.gov/27.5]]|
|27.5|Inversion Formulas|[[除数和>https://dlmf.nist.gov/27.6]]|
|27.6|Divisor Sums|[[生成関数としてのランバート級数>https://dlmf.nist.gov/27.7]]|
|27.7|Lambert Series as Generating Functions|[[ディリクレのキャラクター>https://dlmf.nist.gov/27.8]]|
|27.8|Dirichlet Characters|[[二次文字>https://dlmf.nist.gov/27.9]]|
|27.9|Quadratic Characters|[[周期数理論関数>https://dlmf.nist.gov/27.10]]|
|27.10|Periodic Number-Theoretic Functions|[[漸近公式: 部分和>https://dlmf.nist.gov/27.11]]|
|27.11|Asymptotic Formulas: Partial Sums|[[漸近公式:素数>https://dlmf.nist.gov/27.12]]|
|27.12|Asymptotic Formulas: Primes|[[漸近公式:素数>https://dlmf.nist.gov/27.12]]|
|Additive Number Theory||加法数論|
|27.13|Functions|[[関数>https://dlmf.nist.gov/27.13]]|
|27.14|Unrestricted Partitions|[[無制限のパーティション>https://dlmf.nist.gov/27.14]]|
|Applications||アプリケーション|
|27.15|Chinese Remainder Theorem|[[中国の剰余定理>https://dlmf.nist.gov/27.15]]|
|27.16|Cryptography|[[暗号化手法>https://dlmf.nist.gov/27.16]]|
|27.17|Other Applications|[[その他のアプリケーション>https://dlmf.nist.gov/27.17]]|
|Computation||計算|
|27.18|Methods of Computation: Primes|[[計算方法:素数>https://dlmf.nist.gov/27.18]]|
|27.19|Methods of Computation: Factorization|[[計算方法: 因数分解>https://dlmf.nist.gov/27.19]]|
|27.20|Methods of Computation: Other Number-Theoretic Functions|[[計算方法:その他の数論関数>https://dlmf.nist.gov/27.20]]|
|27.21|Tables|[[テーブル>https://dlmf.nist.gov/27.21]]|
|27.22|Software|[[ソフトウェア>https://dlmf.nist.gov/27.22]]|