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
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