書誌事項

Elementary theory of numbers

W. Sierpiński ; editor, A. Schinzel

(North-Holland mathematical library, v. 31)

North-Holland , PWN-Polish Scientific Publishers , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988

2nd Engl. ed.

  • : pbk.

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注記

Based on the author's Teoria liczb

"Second English edition revised and enlarged by A. Schinzel"--T.p. verso

内容説明・目次

内容説明

Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised. The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

目次

Divisibility and Indeterminate Equations of First Degree. Diophantine Analysis of Second and Higher Degrees. Prime Numbers. Number of Divisors and Their Sum. Congruences. Euler's Totient Function and the Theorem of Euler. Representation of Numbers by Decimals in a Given Scale. Continued Fractions. Legendre's Symbol and Jacobi's Symbol. Mersenne Numbers and Fermat Numbers. Representations of Natural Numbers as Sums of Non-Negative kth Powers. Some Problems of the Additive Theory of Numbers. Complex Integers. Bibliography. Index.

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詳細情報

  • NII書誌ID(NCID)
    BA03511724
  • ISBN
    • 0444866620
    • 9780444557711
  • LCCN
    86016502
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    pol
  • 出版地
    Amsterdam,Warszawa,New York
  • ページ数/冊数
    xii, 513 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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