Publisher:

American Mathematical Society/Chelsea

Number of Pages:

486

Price:

49.00

ISBN:

978-0-8218-1934-0

See the review of the Dover edition.

Date Received:

Thursday, February 23, 2006

Reviewable:

Yes

Publication Date:

1966

Format:

Hardcover

Audience:

Category:

Monograph

Fernando Q. Gouvêa

03/22/2007

I. | Perfect, multiply perfect, and amicable numbers | |||||||

II. | Formulas for the number and sum of divisors, problems of Fermat and Wallis | |||||||

III. | Fermat’s and Wilson’s theorems, generalizations and converses; symmetric functions of 1, 2, ..., p^{-1}, modulo p |
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IV | Residue of (u^{p-1}-1)/p modulo p |
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V. | Euler’s function, generalizations; Farey series | |||||||

VI. | Periodic decimal fractions; periodic fractions; factors of 10^{n} |
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VII. | Primitive roots, exponents, indices, binomial congruences | |||||||

VIII. | Higher congruences | |||||||

IX. | Divisibility of factorials and multinomial coefficients | |||||||

X. | Sum and number of divisors | |||||||

XI. | Miscellaneous theorems on divisibility, greatest common divisor, least common multiple | |||||||

XII. | Criteria for divisibility by a given number | |||||||

XIII. | Factor tables, lists of primes | |||||||

XIV. | Methods of factoring | |||||||

XV. | Fermat numbers | |||||||

XVI. | Factors of a+^{n}b ^{n} |
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XVII. | Recurring series; Lucas’ u _{n}, v_{n} |
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XVIII. | Theory of prime numbers | |||||||

XIX. | Inversion of functions; Möbius’ function; numerical integrals and derivatives | |||||||

XX. | Properties of the digits of numbers | |||||||

Indexes | ||||||||

Publish Book:

Modify Date:

Thursday, June 28, 2012

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