Title: Elementary methods in analytic number theory,
Authors: Gelʹfond, A. O. 1906-; Linnik, I︠U︡. V. 1915-1972.; Mordell, L. J. 1888-; Linnik, I͡U. V. 1915-1972,; Mordell, L. J. 1888-
Publisher: Rand McNally
Year: 1965
Subjects: Number theory
Contents: Additive properties of numbers. The method of Shnirelman. Mann's theorem. Erdös theorem -- Elementary solution of Waring's problem and the problem of Hilbert-Kamke -- The problem of the distribution of prime numbers -- Elementary derivation of the distribution law of prime Gaussian numbers. A theorem on almost-prime Gaussian numbers -- The sieve of Eratosthenes -- The method of Atle Selberg -- On the distribution of the fractional parts of numerical sequences -- Calculation of the number of integer points within contours -- On the distribution of power residues -- Elementary proof of Hasse's theorem -- Elementary proof of Siegel's theorem -- The transcendence of certain number classes.