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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. D. Brownawell, On the development of Gelfond's method, Number Theory Carbondale 1979 Proceedings, Lecture Notes in Math., vol. 751, Springer-Verlag, Berlin etc., 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