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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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 a necessary condition for the validity of the Riemann hypothesis for functions that generalize the Riemann zeta function
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by Ronald Alter PDF
Trans. Amer. Math. Soc. 130 (1968), 55-74 Request permission
References
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  • P. T. Bateman and E. Grosswald, On Epstein’s zeta function, Acta Arith. 9 (1964), 365–373. MR 179141, DOI 10.4064/aa-9-4-365-373
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  • E. Grosswald, Generalization of a formula of Hayman and its application to the study of Riemann’s zeta function, Illinois J. Math. 10 (1966), 9–23. MR 186797
  • J. Grommer, Ganze transzendente Funktionen mit lauter reellen Nullstellen, J. Reine Angew. Math. 144 (1914), 114-165.
  • W. K. Hayman, A generalisation of Stirling’s formula, J. Reine Angew. Math. 196 (1956), 67–95. MR 80749, DOI 10.1515/crll.1956.196.67
  • L. Mordell, The zeta functions arising from quadratic forms and their functional equations, Quart. J. Math. Oxford Ser. 1 (1930), 77-101. G. Pólya, Über die Algebraisch-Funktionen theoretischen von J. L. W. V. Jensen, Mat.-Fys. Medd. Danske Vid. Selsk. 7 (1927), 1-33; p. 16. K. Pracher, Primzahlverteilung, Springer-Verlag, Berlin, 1927. S. Ramanujan, On certain arithmetical functions, Trans. Cambridge Philos. Soc. 22 (1916), 159-184. (Collected Papers No. 22.) J. R. Wilton, A Note on Ramanujan’s arithmetical function $\tau (n)$, Proc. Cambridge Philos. Soc. 25 (1929), 121-129.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 130 (1968), 55-74
  • MSC: Primary 10.41; Secondary 30.00
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0218312-X
  • MathSciNet review: 0218312