Skip to content
Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Sieve Methods, Exponential Sums, and their Applications in Number Theory

Sieve Methods, Exponential Sums, and their Applications in Number Theory

£56.00

Part of London Mathematical Society Lecture Note Series

R.C. Baker, G. Harman, J. Pintz, A. Balog, I. Rusza, J. Browkin, M. Filaseta, G. Greaves, A. Schinzel, J. Brüdern, R.J. Cook, A. Perelli, H. Diamond, H. Halberstam, W. Duke, J. Friedlander, H. Iwaniec, D.A. Goldston, R.C. Vaughan, R.R. Hall, G. Harman, C. Hooley, M.N. Huxley, A. Ivic, M. Jutila, I. Kiuchi, K. Matsumoto, J. McKee, B.Z. Moroz, Y. Motohashi, M.R. Murty
View all contributors
  • Date Published: January 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521589574

£ 56.00
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function.

    • Best names in number theory
    • Proceedings edited to form coherent whole
    • Up-to-date material
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: January 1997
    • format: Paperback
    • isbn: 9780521589574
    • length: 360 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.53kg
    • availability: Available
  • Table of Contents

    1. The exceptional set for Goldbach's problem in short intervals R. C. Baker, G. Harman and J. Pintz
    2. On an additive property of stable sets A. Balog and I. Rusza
    3. Squarefree values of polynomials and the abc-conjecture J. Browkin, M. Filaseta, G. Greaves and A. Schinzel
    4. The values of binary linear forms at prime arguments J. Brüdern, R. J. Cook and A. Perelli
    5. Some applications of sieves of dimension exceeding 1 H. Diamond and H. Halberstam
    6. Representations by the determinant and mean values of L-functions W. Duke, J. Friedlander and H. Iwaniec
    7. On Montgomery-Hooley asymptotic formula D. A. Goldston and R. C. Vaughan
    8. Franel integrals R. R. Hall
    9. Eratosthenes, Legendre, Vinogradov and beyond G. Harman
    10. On hypothesis K* in Waring's problem C. Hooley
    11. Moments of differences between square-free numbers M. N. Huxley
    12. On the ternary additive problem and the sixth moment of the zeta-function A. Ivic
    13. A variant of the circle method M. Jutila
    14. The resemblance of the behaviour of the remainder terms Es(t), D1-2s(x) and R(s+it) I. Kiuchi and K. Matsumoto
    15. A note on the number of divisors of quadratic polynomials J. McKee
    16. On the distribution of integer points in the real locus of an affine toric variety B. Z. Moroz
    17. An asymptotic expansion of the square of the Riemann zeta-function Y. Motohashi
    18. The mean square of Dedekind zeta-functions of quadratic number fields Y. Motohashi
    19. Artin's conjecture and elliptic analogues M. R. Murty.

  • Authors

    G. R. H. Greaves, University of Wales College of Cardiff

    G. Harman, University of Wales College of Cardiff

    M. N. Huxley, University of Wales College of Cardiff

    Contributors

    R.C. Baker, G. Harman, J. Pintz, A. Balog, I. Rusza, J. Browkin, M. Filaseta, G. Greaves, A. Schinzel, J. Brüdern, R.J. Cook, A. Perelli, H. Diamond, H. Halberstam, W. Duke, J. Friedlander, H. Iwaniec, D.A. Goldston, R.C. Vaughan, R.R. Hall, G. Harman, C. Hooley, M.N. Huxley, A. Ivic, M. Jutila, I. Kiuchi, K. Matsumoto, J. McKee, B.Z. Moroz, Y. Motohashi, M.R. Murty

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×