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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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MathSciNet review: 1703748
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: M. Ram Murty and V. Kumar Murty
Title: Non-vanishing of L-functions and applications
Additional book information: Progress in Mathematics, Birkhäuser Verlag, Basel, Boston, London, 1997, 196 pp., ISBN 3-7643-5801-7, $52.00$

References [Enhancements On Off] (What's this?)

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  • Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein, On some applications of automorphic forms to number theory, Bull. Amer. Math. Soc. (N.S.) 33 (1996), no. 2, 157–175. MR 1359575, DOI 10.1090/S0273-0979-96-00654-4
  • Harold Davenport, Multiplicative number theory, 2nd ed., Graduate Texts in Mathematics, vol. 74, Springer-Verlag, New York-Berlin, 1980. Revised by Hugh L. Montgomery. MR 606931
  • Dorian Goldfeld and Jeffrey Hoffstein, Eisenstein series of ${1\over 2}$-integral weight and the mean value of real Dirichlet $L$-series, Invent. Math. 80 (1985), no. 2, 185–208. MR 788407, DOI 10.1007/BF01388603
  • Henryk Iwaniec, Topics in classical automorphic forms, Graduate Studies in Mathematics, vol. 17, American Mathematical Society, Providence, RI, 1997. MR 1474964, DOI 10.1090/gsm/017
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  • V. A. Kolyvagin, Finiteness of $E(\textbf {Q})$ and SH$(E,\textbf {Q})$ for a subclass of Weil curves, Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 3, 522–540, 670–671 (Russian); English transl., Math. USSR-Izv. 32 (1989), no. 3, 523–541. MR 954295, DOI 10.1070/IM1989v032n03ABEH000779
  • W. Kohnen and D. Zagier, Values of $L$-series of modular forms at the center of the critical strip, Invent. Math. 64 (1981), no. 2, 175–198. MR 629468, DOI 10.1007/BF01389166
  • M. Ram Murty, Oscillations of Fourier coefficients of modular forms, Math. Ann. 262 (1983), no. 4, 431–446. MR 696516, DOI 10.1007/BF01456059
  • David E. Rohrlich, Nonvanishing of $L$-functions for $\textrm {GL}(2)$, Invent. Math. 97 (1989), no. 2, 381–403. MR 1001846, DOI 10.1007/BF01389047
  • J.-L. Waldspurger, Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pures Appl. (9) 60 (1981), no. 4, 375–484 (French). MR 646366
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    Review Information:

    Reviewer: Dorian Goldfeld
    Affiliation: Columbia University
    Email: goldfeld@columbia.edu
    Journal: Bull. Amer. Math. Soc. 37 (2000), 155-159
    DOI: https://doi.org/10.1090/S0273-0979-99-00851-4
    Published electronically: December 21, 1999
    Review copyright: © Copyright 2000 American Mathematical Society