Mathematics Resources: Proving Existence of m,n for e^(m/n)=π

In summary, there is no single source for all theorems and proofs. To find such information, one would need to do a "journal search" which requires prior familiarity with journals in the specific research area. The question about the existence of integers m and n such that {e^{m/n}} = \pi remains unanswered.
  • #1
glebovg
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Suppose I need a theorem or to know whether some result has been proven (or not), to prove something else. What are the best sources? Where would I find, for instance, if there is a proof that there exist (or does not exist) integers m and n such that [itex]{e^{m/n}} = \pi[/itex]?
 
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  • #2
There is no single source for all such theorems. Generally, if you want to prove something like that, you would do a "journal search"- which is really only possible if you have been reading journals in your area of research all along.
 
  • #3
I think that particular example question is still unknown.
 

1. What is the significance of proving the existence of m and n for e^(m/n)=π?

Proving the existence of m and n for e^(m/n)=π allows us to establish a connection between two important mathematical constants, e and π. It also provides a deeper understanding of the relationship between exponential and logarithmic functions.

2. How is this proof achieved?

This proof is achieved through the use of mathematical techniques such as calculus, algebra, and number theory. It involves manipulating equations and using logical reasoning to arrive at a solution.

3. Why is it important to prove this existence?

Proving the existence of m and n for e^(m/n)=π is important because it helps to validate the validity and accuracy of mathematical concepts and theories. It also expands our understanding of the underlying principles of mathematics.

4. Are there any real-world applications for this proof?

While this proof may not have direct real-world applications, it has implications in various fields such as physics, engineering, and economics. It also serves as a foundation for further mathematical research and discoveries.

5. Is this proof applicable to other mathematical equations?

Yes, the techniques used in this proof can be applied to other mathematical equations and problems. It showcases the versatility and interconnectedness of mathematical concepts and principles.

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