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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): A. A. Karatsuba and S. M. Voronin
Title: The Riemann zeta function
Additional book information: de Gruyter, Berlin and Hawthorne, New York, 1991, xii + 396 pp., US$112.00. ISBN 3-11-013170-6


References:

Bibliography

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[C]
B. Conrey, More than 2/5 of the zeros of the Riemann zeta function are on the critical line, J. Reine Angew. Math 399 (1989), 1-26. MR 1004130 (90g:11120)

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[E]
H. Edwards, Riemann's zeta function, Academic Press, New York and London, 1974. MR 0466039 (57:5922)

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D. R. Heath-Brown, The twelfth power moment of the Riemann zeta-function, Quart. J. Math. Oxford Ser. (2) 29 (1978), 443-462. MR 517737 (80d:10059)

[H]
M. Huxley, The distribution of prime numbers, Oxford Univ. Press, London, 1972. MR 0444593 (56:2943)

[IV]
A. Ivic, The distribution of prime numbers, Oxford Univ. Press, London, 1985.

[I]
H. Iwaniec, Fourier coefficients of cusp forms and the Riemann zeta function, Sém. Théor. Nombres Bordeaux (2), vol. 18, Univ. Bordeaux, Talence, 1980. MR 604215 (82i:10047)

[J]
M. Jutila, Zero density estimates for L-functions, Acta Arith. 32 (1977), 52-62. MR 0429790 (55:2800)

[ME]
M. L. Mehta, Random matrices, second ed., Academic Press, New York, 1991. MR 1083764 (92f:82002)

[MO1]
H. Montgomery, The pair correlation of zeros of the zeta function, Proc. Sympos. Pure Math., vol. XXIV, Amer. Math. Soc., Providence, RI, 1973, pp. 181-193. MR 0337821 (49:2590)

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-, Topics in multiplicative number theory, Lecture Notes in Math., vol. 227, Springer, New York, 1971. MR 0337847 (49:2616)

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A. Odlyzko, The distribution of spacings between zeros of the zeta function, Math. Comp. 48 (1987), 273-308. MR 866115 (88d:11082)

[S]
A. Selberg, Old and new conjectures about a class of Dirichlet series, Collected Work, Vol. II, Springer, New York, 1991, pp. 47-65.

[TI]
E. C. Titchmarsh, The theory of the Riemann zeta function, Oxford Univ. Press, London, 1951. MR 0046485 (13:741c)

[T2]
-, The theory of the Riemann zeta function, second ed. rev. D. R. Heath-Brown, Oxford Univ. Press, London, 1986. MR 882550 (88c:11049)


Additional Information:

Reviewer(s):
Peter Sarnak

Review Information:
Journal: Bull. Amer. Math. Soc. 32 (1995), 251-253.
DOI: 10.1090/S0273-0979-1995-00580-X
PII: S 0273-0979(1995)00580-X




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