Elementary Theory of Numbers

Elementary Theory of Numbers

Second English Edition (edited by A. Schinzel)

1st Edition - February 1, 1988
This is the Latest Edition
  • Author: W. Sierpinski
  • eBook ISBN: 9780080960197

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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.

Product details

  • No. of pages: 513
  • Language: English
  • Copyright: © North Holland 1988
  • Published: February 1, 1988
  • Imprint: North Holland
  • eBook ISBN: 9780080960197

About the Author

W. Sierpinski