Search Results
Search type | Search syntax |
---|---|
Tags | [tag] |
Exact | "words here" |
Author |
user:1234 user:me (yours) |
Score |
score:3 (3+) score:0 (none) |
Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
Views | views:250 |
Code | code:"if (foo != bar)" |
Sections |
title:apples body:"apples oranges" |
URL | url:"*.example.com" |
Saves | in:saves |
Status |
closed:yes duplicate:no migrated:no wiki:no |
Types |
is:question is:answer |
Exclude |
-[tag] -apples |
For more details on advanced search visit our help page |
An irrational number is a real number that cannot be expressed in the form $\frac{n}{m}$ where $n$ and $m$ are integers.
15
votes
Accepted
Is it possible to know if $\log(\pi)$ is irrational or not since the $\log$ function is the ...
The irrationality of $\log \pi$ is an open problem (see for example this recent paper).
It is expected to be transcendental (page 34 of this slides by Michel Waldschmidt), and in fact this follows fr …
7
votes
Irrationality of Dedekind zeta values
As with all motivic L-functions, irrationality of special values breaks into two rather different problems:
Critical values. In the case of Dedekind zeta functions, those are the even positive intege …
4
votes
Accepted
Is there a fixed integer $n$ for which the difference :$\pi^n-\ e ^n$ is integer number?
The claim that $\pi$ and $e$ are known to be algebraically independent is incorrect, see for example this MO question.
The rationality of $\pi^n-e^n$ is a well-known open problem alredy for $n=1$, an …