Analytic Number Theory

' … a good overview over the recent state of art in this part of Number Theory.' Monatshefte für Mathematik

• Foreword; Speakers; 1. Subvarieties of linear tori and the unit equation A survey E. Bombieri; 2. Remarks on the analytic complexity of zeta functions E. Bombieri; 3. Normal distribution of zeta functions and applications E. Bombieri and A. Perelli; 4. Goldbach numbers and uniform distribution J. Brüdern and A. Perelli; 5. The number of algebraic numbers of given degree approximating a given algebraic number J.-H. Evertse; 6. The Brun–Titchmarsh theorem J. Friedlander and H. Iwaniec; 7. A decomposition of Riemann's Zeta function A. Granville; 8. Multiplicative properties of consecutive integers A. J. Hildebrand; 9. On the equation (x^m - 1)/(x - 1) = y^q with x power N. Hirata-Kohno and T. N. Shorey; 10. Congruence families of exponential sums M. N. Huxley and N. Watt; 11. On some results concerning the Riemann hypothesis A. Ivic; 12. Mean values of Dirichlet series via Laplace transforms M. Jutila; 13. The mean square of the error term in a generalization of the Dirichlet divisor problem K.-Y. Lam and K.-M. Tsang; 14. The Goldbach problem with primes in arithmetic progressions M.-C. Liu and T. Zhan; 15. On the sum of three squares of primes H. Mikawa; 16. Trace formula over the hyperbolic upper half space Y. Motohashi; 17. Modular forms and the Chebotarev density theorem II V. K. Murty; 18. Congruences between modular forms M. R. Murty; 19. Regular singularities in G-function theory M. Nagata; 20. Spectral theory and L-functions P. Sarnak; 21. Irrationality criteria for numbers of Mahler's type T. N. Shorey and R. Tijdeman; 22. Hypergeometric functions and irrationality measures C. Viola; 23. Forms in many variables T. D. Woley; 24. Remark on the Kuznetsov trace formula E. Yoshida.