Is e^pi rational?

  • Thread starter Aditya89
  • Start date
  • #1
23
0
Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?
 

Answers and Replies

  • #2
310
3
It's transcendental. This can be proved using Gelfond's theorem.
 
  • #4
310
3
From the link jim posted:
"Gauss is reported to have commented that if [[itex]e^{i \pi} + 1 = 0[/itex]] was not immediately obvious, the reader would never be a first-class mathematician."

... :bugeye:
 

Related Threads on Is e^pi rational?

Replies
19
Views
23K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
3
Replies
65
Views
16K
Replies
1
Views
4K
  • Last Post
2
Replies
29
Views
6K
Replies
6
Views
2K
  • Last Post
Replies
20
Views
4K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
12
Views
2K
Top