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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the maximum modulus and the maximum term of an entire Dirichlet series
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by A. G. Azpeitia PDF
Proc. Amer. Math. Soc. 12 (1961), 717-721 Request permission
References
  • J. F. Ritt, On Certain Points in the Theory of Dirichlet Series, Amer. J. Math. 50 (1928), no. 1, 73–86. MR 1506655, DOI 10.2307/2370849
  • Gustav Doetsch, Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden, Math. Z. 8 (1920), no. 3-4, 237–240 (German). MR 1544441, DOI 10.1007/BF01206529
  • S. Mandelbrojt, Séries de Fourier et classes quasi-analytiques de fonctions, Paris, Gauthier-Villars, 1935.
  • S. Mandelbrojt, Dirichlet series, Rice Inst. Pamphlet 31 (1944), 159–272. MR 12163
  • A. G. Azpeitia, El orden precisado en las funciones enteras, Memorias de Matemáticas del Instituto Jorge Juan, no. 15, Consejo Superior de Investigaciones Científicas, Madrid, 1955.
  • Kinjiro Sugimura, Übertragung einiger Sätze aus der Theorie der ganzen Funktionen auf Dirichletsche Reihen, Math. Z. 29 (1929), no. 1, 264–277 (German). MR 1545003, DOI 10.1007/BF01180529
  • Qazi Ibadur Rahman, On the maximum modulus and the coefficients of an entire Dirichlet series, Tohoku Math. J. (2) 8 (1956), 108–113. MR 80153, DOI 10.2748/tmj/1178245013
  • G. Valiron, Lectures on the general theory of integral functions, New York, Chelsea, 1949. R. San Juan, Los fundamentos de una teoría general de series divergentes, Rev. Acad. Ci. Madrid vol. 45 (1951) pp. 121-149.
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 12 (1961), 717-721
  • MSC: Primary 30.56; Secondary 30.50
  • DOI: https://doi.org/10.1090/S0002-9939-1961-0126533-9
  • MathSciNet review: 0126533