Frontmatter Anatoly A. Karatsuba and S. M. Voronin Page Range: I–XII Chapter I. The definition and the simplest properties of the Riemann zeta-function Page Range: 1–42 Chapter II. The Riemann zeta-function as a generating function in number theory Page Range: 43–63 Chapter III. Approximate functional equations Page Range: 64–100 Chapter IV. Vinogradov’s method in the theory of the Riemann zeta-function Page Range: 101–125 Chapter V. Density theorems Page Range: 126–167 Chapter VI. Zeros of the zeta-function on the critical line Page Range: 168–240 Chapter VII. Distribution of nonzero values of the Riemann zeta-function Page Range: 241–285 Chapter VIII. Ω-theorems Page Range: 286–325 Appendix Page Range: 326–384 Bibliography Page Range: 385–394 Index Page Range: 395–396 · · · · · · (收起)