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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Paul Turán
Title: On a new method of analysis and its applications
Additional book information: John Wiley & Sons, Inc., Somerset, New Jersey, 1984, xvi + 584 pp., $49.95. ISBN 0471-89255-6.

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

  • 1. H. Bohr, Über das Verhalten von ζ(s) in der Halbebene σ > 1, Gött. Nachr. (1911), 409-428.
  • 2. H. Bohr, Sur l'existence des valeurs arbitrairement petites de la fonction ζ(s) = ζ(σ + it) de Riemann pour σ > 1, Oversigt Vidensk. Selsk. Kobenhaven (1911), 201-208.
  • 3. W. Dale Brownawell, On the development of Gel′fond’s method, Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979) Lecture Notes in Math., vol. 751, Springer, Berlin, 1979, pp. 18–44. MR 564921
  • 4. G. V. Chudnovsky, Some analytic methods in the theory of transcendental numbers; Analytic methods in diophantine approximations (Russian). Preprints IM-74-8 and 9, Ukrainian SSR Acad. Sciences, Kiev 1974, 100 pp. MR 434972
  • 5. J. E. Littlewood, Sur la distribution des nombres premiers, C. R. Acad. Sci. Paris 158 (1914), 1869-1872.
  • 6. G. Pólya, Über das Vorzeichen des Restgliedes im Primzahlsatz, Gött. Nachr. (1930), 19-27.
  • 7. R. Tijdeman, An auxiliary result in the theory of transcendental numbers, J. Number Theory 5 (1973), 80-94. MR 316395
  • 8. P. Turán, On a property of the stable or conditionally stable solutions of systems of nonlinear differential equations, Ann. Math. 48 (1959), 333-340. MR 110853
  • 9. P. Turán, A remark on the heat equation, J. Analyse Math. Jérusalem 14 (1965), 443-448. MR 177212
  • 10. M. Voorhoeve, Zeros of exponential polynomials, Thesis, University of Leiden, 1977. MR 444917

Review Information:

Reviewer: R. Tijdeman
Journal: Bull. Amer. Math. Soc. 14 (1986), 318-322
DOI: https://doi.org/10.1090/S0273-0979-1986-15456-X
American Mathematical Society