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On certain irrational values of the logarithm

Part of the Lecture Notes in Mathematics book series (LNM,volume 751)

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References

  1. F. Beukers, A note on the irrationality of ζ(2) and ζ(3), to appear.

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  2. E. Bombieri, Ordinary differential equations and irrational numbers, Notes of the Ziwet Lectures, University of Michigan, Ann Arbor, MI, (1978).

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  3. W. Kaplan, Advanced calculus, Addison-Wesley, Reading, Mass. (1951), 5 Ed.

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  4. L. M. Milne-Thompson, The calculus of finite differences, MacMillan and Co., London, (1933).

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  5. A. J. van der Poorten, A proof that Euler missed — Apéry's proof of the irrationality of ζ(3), Math. Intelligencer, to appear.

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  6. C.L. Siegel, Transcendental numbers, Annals of Mathematical Studies, Princeton University Press, Princeton, (1949).

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© 1979 Springer-Verlag

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Alladi, K., Robinson, M.L. (1979). On certain irrational values of the logarithm. In: Nathanson, M.B. (eds) Number Theory Carbondale 1979. Lecture Notes in Mathematics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062698

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  • DOI: https://doi.org/10.1007/BFb0062698

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09559-0

  • Online ISBN: 978-3-540-34852-8

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