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ISSN: 2333-9721
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The Proof of Hilbert’s Seventh Problem about Transcendence of e+π

DOI: 10.4236/oalib.1102893, PP. 1-3

Subject Areas: Algebraic Geometry, Algebra

Keywords: Hilbert’s Conjecture, Transcendental Number, The Transcendence of e+π

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Abstract

We prove that eπ is a transcendental number. We use proof by contradiction. The key to solve the problem is to establish a function that doesn’t satisfy the relational expression that we derive, thereby produce a conflicting result which can verify our assumption is incorrect.

Cite this paper

Zhu, J. (2016). The Proof of Hilbert’s Seventh Problem about Transcendence of e+π. Open Access Library Journal, 3, e2893. doi: http://dx.doi.org/10.4236/oalib.1102893.

References

[1]  Wang, Y. (2011) About Prime Number. Harbin Institute of Technology Press, Harbin.
[2]  Min, S.H. and Yan, S.J. (2003) Elementary Number Theory. 3rd Edition, Higher Education Press, Beijing.

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