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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.

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On the arithmetic nature of definite integrals of rational functions.
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by A. J. Van der Poorten PDF
Proc. Amer. Math. Soc. 29 (1971), 451-456 Request permission

Abstract:

A. Baker’s theorems on linear forms in the logarithms of algebraic numbers imply information on the arithmetic nature of definite integrals of rational functions. This paper pro vides a convenient formulation of these implied results.
References
  • A. Baker, Linear forms in the logarithms of algebraic numbers. I, II, III, Mathematika 13 (1966), 204–216; ibid. 14 (1967), 102–107; ibid. 14 (1967), 220–228. MR 220680, DOI 10.1112/s0025579300003843
    • K. Mahler, Lectures on a theorem of A. Baker, Report of the Tenth Summer Research Institute of the Australian Mathematical Society (Hobart, 1970).
  • Carl Ludwig Siegel, Transcendental Numbers, Annals of Mathematics Studies, No. 16, Princeton University Press, Princeton, N. J., 1949. MR 0032684
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 29 (1971), 451-456
  • MSC: Primary 10.32
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0276180-X
  • MathSciNet review: 0276180