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.
Inhaltsverzeichnis
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
