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15 votes

Work on independence of pi and e

There is a proof of the algebraic independence of $\pi$ and $e^\pi$ in Introduction to Algebraic Independence Theory and a detailed exposition of methods created in last the 25 years although I have n …
muad's user avatar
  • 1,412
33 votes
3 answers
8k views

Work on independence of pi and e

It is an open problem to prove that $\pi$ and $e$ are algebraically independent over $\mathbb{Q}$. What are some of the important results leading toward proving this? What are the most promising the …
muad's user avatar
  • 1,412