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Analytic Number Theory

Analytic Number Theory

£52.00

Part of London Mathematical Society Lecture Note Series

E. Bombieri, A. Perelli, J. Brüdern, J.-H. Evertse, J. Friedlander, H. Iwaniec, A. Granville, A. J. Hildebrand, N. Hirata-Kohno, T. N. Shorey, M. V. Huxley, N. Watt, A. Ivic, M. Jutila, K.-Y. Lam, K. M. Tsang, M.-C. Liu, T. Zhan, H. Mikawa, Y. Motohashi, V. K. Murty, M. R. Murty, M. Nagata, P. Sarnak, R. Tijdeman, C. Viola, T. D. Wooley, E. Yoshida.
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  • Date Published: October 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521625128

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About the Authors
  • 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.

    • Presents up-to-date review of analytic number theory
    • Top notch contributors
    • In highly respected series
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    Reviews & endorsements

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

    ' … an authoritative, up-to-date review of analytic number theory. This will be a valuable book for graduates and researchers working in number theory.' L'Enseignement Mathématique

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    Product details

    • Date Published: October 1997
    • format: Paperback
    • isbn: 9780521625128
    • length: 396 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.58kg
    • contains: 1 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Editor

    Yoichi Motohashi, Nihon University, Tokyo

    Contributors

    E. Bombieri, A. Perelli, J. Brüdern, J.-H. Evertse, J. Friedlander, H. Iwaniec, A. Granville, A. J. Hildebrand, N. Hirata-Kohno, T. N. Shorey, M. V. Huxley, N. Watt, A. Ivic, M. Jutila, K.-Y. Lam, K. M. Tsang, M.-C. Liu, T. Zhan, H. Mikawa, Y. Motohashi, V. K. Murty, M. R. Murty, M. Nagata, P. Sarnak, R. Tijdeman, C. Viola, T. D. Wooley, E. Yoshida.

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