Couverture / Jaquette

Written by a Univeristy of Chicago professor, this 1st volume in the 3-volume series "History of the Theory of Numbers" presents the material related to the subjects of divisibility and primality. 1919 edition.

Note biographique

Leonard Eugene Dickson taught at the University of Chicago.

Table des matières

I. Perfect, multiply perfect, and amicable numbersII. Formulas for the number and sum of divisors, problems of Fermat and WallisIII. Fermat's and Wilson's theorems, generalizations and converses; symmetric functions of 1, 2, ..., p-1, modulo pIV Residue of (up-1-1)/p modulo pV. Euler's function, generalizations; Farey seriesVI. Periodic decimal fractions; periodic fractions; factors of 10nVII. Primitive roots, exponents, indices, binomial congruencesVIII. Higher congruencesIX. Divisibility of factorials and multinomial coefficientsX. Sum and number of divisorsXI. Miscellaneous theorems on divisibility, greatest common divisor, least common multipleXII. Criteria for divisibility by a given numberXIII. Factor tables, lists of primesXIV. Methods of factoringXV. Fermat numbersXVI. Factors of an+bnXVII. Recurring series; Lucas' un, vnXVIII. Theory of prime numbersXIX. Inversion of functions; Möbius' function; numerical integrals and derivativesXX. Properties of the digits of numbersIndexes

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