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An Alternative Proof of the Lindemann-Weierstrass Theorem

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Pi: A Source Book
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Abstract

In December 1987 J. P. Bézivin and Ph. Robba found a new proof of the Lindemann-Weierstrass theorem as a by-product of their criterion of rationality for solutions of differential equations. Let us recall the Lindemann-Weierstrass theorem, to which we shall refer as LW from now on.

Dedicated to the Memory of Philippe Robba

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References

  1. J. P. Bezivin and P. Robba, Rational solution of linear differential operations, J. Australian Math. Soc. (to appear).

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  2. G. H. Hardy and F. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, 1959.

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  3. D. Hilbert, Gesammelte Abhandlungen, vol. I, Chelsea, 1965, pp. 1–4.

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  4. A. Baker. Transcendental Number Theory, Cambridge Univ. Press, 1975.

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© 2000 Springer Science+Business Media New York

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Beukers, F., Bézivin, J.P., Robba, P. (2000). An Alternative Proof of the Lindemann-Weierstrass Theorem. In: Pi: A Source Book. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3240-5_66

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  • DOI: https://doi.org/10.1007/978-1-4757-3240-5_66

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-3242-9

  • Online ISBN: 978-1-4757-3240-5

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