Bibliographic Information

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.

Available at  / 51 libraries

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Note

Based on the author's Teoria liczb

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

Description and Table of Contents

Description

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.

Table of Contents

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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Details

  • NCID
    BA03511724
  • ISBN
    • 0444866620
    • 9780444557711
  • LCCN
    86016502
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    pol
  • Place of Publication
    Amsterdam,Warszawa,New York
  • Pages/Volumes
    xii, 513 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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