Discover the Transcendental Nature of E+pi at AMS Meetings

[J.F.]

http://www.ams.org/meetings/sectional/1016-11-8.pdf

 

[camilus]

thanks so much! I am fascinated by these problems! This is proving e+pi irrational, not transcendental.

 

[Antiphon]

Quiz:

Is there an irrational number x such that pi+e+x = (a rational number)?

 

[Landau]

Three and a half years ago JF started the same thread:

https://www.physicsforums.com/showthread.php?t=203040 .

Personally, I don't understand anything what that guy is saying. His mastery of the English language is also kind of off-putting.

 

[micromass]

Quiz:

Is there an irrational number x such that pi+e+x = (a rational number)?

There are an infinite number of them and they are dense in R. They do have a Lebesgue measure of 0, though

 

[Deveno]

Quiz:

Is there an irrational number x such that pi+e+x = (a rational number)?

i vote for r - e - pi, where r is rational.

 

[Antiphon]

i vote for r - e - pi, where r is rational.

You win the quiz.

 

[J.F.]

thanks so much! I am fascinated by these problems! This is proving e+pi irrational, not transcendental.

It agree I'm sorry

 

[camilus]

its okay. I don't understand the proof anyways, is there a more rigorous version somewhere else? this looks like a preprint or an outline, not the actual proof.

 

[J.F.]

its okay. I don't understand the proof anyways, is there a more rigorous version somewhere else? this looks like a preprint or an outline, not the actual proof.

http://arxiv.com/abs/0907.0467v4
This paper is under development, thank you for your patience while we expand it!