This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory.
This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory.
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.
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.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Internetauftritt der buecher.de internetstores GmbH
Geschäftsführung: Monica Sawhney | Roland Kölbl | Günter Hilger
Sitz der Gesellschaft: Batheyer Straße 115 - 117, 58099 Hagen
Postanschrift: Bürgermeister-Wegele-Str. 12, 86167 Augsburg
Amtsgericht Hagen HRB 13257
Steuernummer: 321/5800/1497
USt-IdNr: DE450055826
