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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Tauberian relative of the Landau-Ingham Tauberian theorem
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by S. L. Segal
Proc. Amer. Math. Soc. 20 (1969), 287-294
DOI: https://doi.org/10.1090/S0002-9939-1969-0236559-X
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References
  • E. Grosswald, A proof of the prime number theorem, Amer. Math. Monthly 71 (1964), 736–743. MR 167469, DOI 10.2307/2310887
  • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
  • A. E. Ingham, Some Tauberian theorems connected with the prime number theorem, J. London Math. Soc. 20 (1945), 171–180. MR 17392, DOI 10.1112/jlms/s1-20.3.171
    • E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, 2nd ed., Chelsea, New York, 1953. —, Über die Äquivalenz zweier Hauptsätze der analytischen Zahlentheorie, Wiener Akademie Sitzungsberichte 20 (1911), 973-988.
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Bibliographic Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 20 (1969), 287-294
  • MSC: Primary 40.42; Secondary 10.00
  • DOI: https://doi.org/10.1090/S0002-9939-1969-0236559-X
  • MathSciNet review: 0236559