Hua Loo Keng. Introduction to Number Theory

Translated from the Chinese by Peter Shiu. — Berlin, Heidelberg: Springer-Verlag, 1982. — 588 p. — ISBN 978-3-642-68132-5, 978-3-642-68130-1.The reasons for writing this book have already been given in the preface to the original edition and it suffices to append a few more points.
In the original edition I collected various recent results in number theory and put them in a text book suitable for teaching purposes. The book contains: The elementary proof of the prime number theorem due to Selberg and Erdos; Roth's theorem; A.O. Gelfond's solution to Hilbert's seventh problem; Siegel's theorem on the class number of binary quadratic forms; Linnik's proof of the Hilbert­Waring theorem; Selberg's sieve method and Schnirelman's theorem on the Goldbach problem; Vinogradov's result concerning least quadratic non-residues. It also contains some of my own results, for example, on the estimation of complete trigonometric sums, on least primitive roots, and on the Prouhet-Tarry problem.
The reader can see that the book is much influenced by the work of Landau, Hardy, Mordell, Davenport, Vinogradov, Erdös and Mahler. In the quarter of a century between the two editions of the book there have been, of course, many new and exciting developments in number theory, and I am grateful to Professor Wang Yuan for incorporating many new results which will guide the reader to the literature concerning the latest developments.Файл: отскан. стр. (b/w 600 dpi) + OCR