Aspects of this topic are discussed in the following places at Britannica.
...proved that ab is transcendental if a is an algebraic number not equal to 0 or 1 and if b is an irrational algebraic number. This statement, now known as Gelfond’s theorem, solved the seventh of 23 famous problems that had been posed by the German mathematician David Hilbert in 1900. Gelfond’s methods were readily accepted by other mathematicians, and...
Link to this article and share the full text with the readers of your Web site or blog-post.
If you think a reference to this article on "Gelfond's theorem" will enhance your Web site,
blog-post, or any other web-content, then feel free to link to this article,
and your readers will gain full access to the full article, even if they do not subscribe to our service.
You may want to use the HTML code fragment provided below.
We welcome your comments. Any revisions or updates suggested for this article will be reviewed by our editorial staff. Contact us here.
Regular users of Britannica may notice that this comments feature is less robust than in the past. This is only temporary, while we make the transition to a dramatically new and richer site. The functionality of the system will be restored soon.