The Proof of Hilbert’s Seventh Problem about Transcendence of e＋π - Open Access Library Journal

OALibJ > Vol.3 No.8, August 2016

Open Access Library Journal

Volume 3, Issue 8 (August 2016)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

The Proof of Hilbert’s Seventh Problem about Transcendence of e＋π ()

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DOI: 10.4236/oalib.1102893 1,391 Downloads 2,133 Views

Author(s)

Jiaming Zhu

Affiliation(s)

School of Mathematical Sciences, Jinggangshan University, Ji’an, China.

ABSTRACT

We prove that e＋π 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.

KEYWORDS

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

Share and Cite:

Zhu, J. (2016) The Proof of Hilbert’s Seventh Problem about Transcendence of e＋π. Open Access Library Journal, 3, 1-3. doi: 10.4236/oalib.1102893.

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