1 “.... The reader will be taken through a journey on the arithmetical sides of the large sieve inequality when...”

2 Table of Contents: “... curves of large rank -- 12. The large sieve -- 13. Applications of the large sieve to thin sets...”

3 Table of Contents: “...Three basic principles -- The large sieve -- Arithmetic formulations of the large sieve -- A...”

4 Table of Contents: “... curves of large rank -- 12. The large sieve -- 13. Applications of the large sieve to thin sets...”

5 Table of Contents: “... -- 27 The Large Sieve -- 28 Bombieri’s Theorem -- 29 An Average Result -- 30 References to Other Work...”

6 Table of Contents: “...’ Main Theorem (Theorem (9.1)) -- Halász’ Lemma (Lemma (9.4)) -- Connections with the Large Sieve...”

7 Table of Contents: “... method / Möbius function -- The Large Sieve Inequality -- Montgomery's Sieve...”

8 Table of Contents: “... fields -- Exponential sums and faster than Nyquist signaling -- Some new applications of the large sieve...”

9 Table of Contents: “.... Dirichlet Series -- 4. Euler’s Gamma Function -- 5. Riemann’s Zeta Function -- 6. The Large Sieve -- 7...”

10 Table of Contents: “... As an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences (K. Halupczok) -- 6. Unexpected...”

11 Table of Contents: “... sieves of dimension exceeding one II -- Congruences for partition functions -- Fractional power large...”

12 Table of Contents: “...On the large sieve method -- Über binäre additive Probleme gemischter Art -- How to extend a...”

13 Table of Contents: “... -- § 9. Selberg’s lower-bound method: further discussion -- § 10. The ‘large’ sieves of Linnik and Rényi...”