Bulletin of the American Mathematical Society

MathSciNet review: 1567584
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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.

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.

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

G. V. Chudnovskiĭ and G. V. Čudnovskiĭ, Nekotorye analiticheskie metody v teorii transtsendentnykh chisel, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1974 (Russian). Preprint IM-74-8. MR 0434972

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.

R. Tijdeman, An auxiliary result in the theory of transcendental numbers, J. Number Theory 5 (1973), 80–94. MR 316395, DOI 10.1016/0022-314X(73)90060-7

P. Turán, On a property of the stable or conditionally stable solutions of systems of non-linear differential equations, Ann. Mat. Pura Appl. (4) 48 (1959), 333–340. MR 110853, DOI 10.1007/BF02410674

P. Turán, A remark on the heat-equation, J. Analyse Math. 14 (1965), 443–448. MR 177212, DOI 10.1007/BF02806405

Marc Voorhoeve, Zeros of exponential polynomials, Rijksuniversiteit te Leiden, Leiden, 1977 (English, with Dutch summary). Doctoral dissertation, University of Leiden, Leiden. MR 0444917

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 0564921

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