Leonard Eugene Dickson

History of the Theory of Numbers, Volume I (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.

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Produktdetails

• Verlag: Dover Publications
• Erscheinungstermin: 27. Januar 2012
• Englisch
• ISBN-13: 9780486154596
• Artikelnr.: 40289304

Autorenporträt

Leonard Eugene Dickson taught at the University of Chicago.

Inhaltsangabe

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 IV Residue of (up-1-1)/p modulo p V. Euler's function
generalizations; Farey series VI. Periodic decimal fractions; periodic fractions; factors of 10n 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 an+bn XVII. Recurring series; Lucas' un
vn XVIII. Theory of prime numbers XIX. Inversion of functions; Möbius' function; numerical integrals and derivatives XX. Properties of the digits of numbers Indexes