An introduction to the theory of numbers

Clarendon Press

1979

xvi, 426 p.

Includes indexes. Bibliography: p. [417]-419.

978-0198531708

The series of primes (1) -- The series of primes (2) -- Farey series and a theorem of Minkowski -- Irrational numbers -- Congruences and residues -- Fermat's theorem and its consequences -- General properties of congruences -- Congruences to composite moduli -- The representation of numbers by decimals -- Continued fractions -- Approximation of irrationals by rationals -- The fundamental theorem of arithmetic in k(1), k(i), and k(p) -- Some Diophantine equations -- Quadratic fields (1) -- Quadratic fields (2) -- The arithmetical functions ø(n), [Mu](n), d(n), [Sigma](n), r(n) -- Generating functions of arithmetical functions -- The order of magnitude of arithmetical functions -- Partitions -- The representation of a number by two or four squares -- Representation by cubes and higher powers -- The series of primes (3) -- Kronecker's theorem -- Geometry of numbers -- Appendix. 1. Another formula for p[subscript n] -- 2. A generalization of Theorem -- 3. Unsolved problems concerning primes

The fifth edition of this classic reference work has been updated to give a reasonably accurate account of the present state of knowledge.

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