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

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SUMMARY

The discussion centers on the challenge of proving the existence of integers m and n such that e^(m/n) = π. Participants emphasize the lack of a single comprehensive source for all mathematical theorems, particularly for complex questions like this one. They recommend conducting a "journal search" as the most effective method for finding relevant proofs or theorems, which requires prior familiarity with academic journals in the specific research area. The existence of such integers remains an open question in mathematics.

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  • Familiarity with mathematical theorems and proofs
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  • Knowledge of journal databases and academic research methodologies
  • Basic concepts of number theory
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  • Conduct a journal search using databases like JSTOR or MathSciNet
  • Explore the properties of transcendental numbers and their implications
  • Research existing literature on the relationship between e and π
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Mathematicians, researchers in number theory, and students seeking to understand the complexities of proving relationships between transcendental numbers.

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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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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.
 
I think that particular example question is still unknown.
 

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