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Riemann 猜想漫谈

- 参考文献 -

- 卢昌海 -

  1. J. Arias-de-Reyna, X-Ray of Riemann's Zeta-Function.
  2. M. V. Berry, J. P. Keating, H=xp and the Riemann Zeros, in Supersymmetry and Trace Formulae: Chaos and Disorder, (Plenum Publishing Corporation, 1999).
  3. M. V. Berry, J. P. Keating, The Riemann Zeros and Eigenvalue Asymptotics, SIAM Review, 41, No. 2, pp. 236-266, (1999).
  4. E. Bombieri, Problems of the Millennium: The Riemann Hypothesis.
  5. D. Bump, Zeros of the Zeta Function.
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  7. M. du Sautoy, The Music of the Primes (Harper Collins Publishers, 2003).
  8. H. M. Edwards, Riemann's Zeta Function (Dover Publications, Inc., 2001).
  9. S. M. Gonek, Three Lectures on the Riemann Zeta-Function, in Proceedings of the 2002 International Conference on Subjects Related to the Clay Problems, Vol. 1, (Inst. of Pure and Applied Math., Chonbuk National University, Jeonju, Korea, 2002).
  10. X. Gourdon, The 1013 first zeros of the Riemann Zeta function, and zeros computation at very large height (2004).
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  12. Aleksandar Ivic, The Riemann Zeta-Function: Theory and Applications (Dover Publications, Inc., 2003).
  13. Nicholas M. Katz, Peter Sarnak, Zeroes of Zeta Functions and Symmetry, AMS, 36, Number 1, pp. 1-26, (1999).
  14. G. T. Kneebone, Mathematical Logic and the Foundations of Mathematics (Dover Publications, Inc., 2001).
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  17. A. M. Odlyzko, On the distribution of spacings between zeros of the zeta function, Math. Comp. 48, pp.273-308, (1987).
  18. D. Rockmore, Chance in the Primes (Part III).
  19. K. Sabbagh The Riemann Hypothesis (Farrar, Straus and Giroux, 2002).
  20. Nina C. Snaith, Random Matrix Theory and Zeta Functions, PhD Thesis, University of Bristol, (2000).
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  22. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function (Oxford University Press, 1987).
  23. Craig A. Tracy, Harold Widom, Universality of the distribution functions of random matrix theory, in Statistical Physics on the Eve of the 21st Century (World Scientific Pub., 1999).
  24. Craig A. Tracy, Harold Widom, Distribution Functions for Largest Eigenvalues and Their Applications, in Proceedings of the International Congress of Mathematicians, Vol. I, (Higher Education Press, Beijing, 2002).
  25. B. H. Yandell, The Honors Class (A K Peters, Ltd., 2002).
  26. Martin R. Zirnbauer, Symmetry Classes in Random Matrix Theory, to appear in Encylopedia of Mathematical Physics (Elsevier, 2005).

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