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I recently came across the concept of the irrationality measure. It really fascinated me and when I was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1]On the irrationality measure of arctan 1/3 Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079

I recently came across the concept of the irrationality measure. It really fascinated me and when I was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1] Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079

I recently came across the concept of the irrationality measure. It really fascinated me and when I was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: On the irrationality measure of arctan 1/3 Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)?

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Shahrooz
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I recently came across the concept of the irrationality measure. It really fascinated me and when iI was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1] Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$  ? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079

I recently came across the concept of the irrationality measure. It really fascinated me and when i was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1] Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$  ? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079

I recently came across the concept of the irrationality measure. It really fascinated me and when I was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1] Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079

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MuCephei
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Irrationality measure of arctan(1/3)

I recently came across the concept of the irrationality measure. It really fascinated me and when i was looking for known values $\mu(x)$ for mathematical constants $x$, I also came across this paper: [On the irrationality measure of arctan 1/3][1] Unfortunately it could't help me out quite well. What is the irrationality measure of $\arctan(1/3)$ ? Are there upper and lower bounds? Which famous constant have known irrationality measures or upper/lower bounds? (Except for the ones, that can easily be found on mathworld e.g. $\pi, \ln(2),\ln(3), \pi^2, \zeta(3)$)? [1]: https://link.springer.com/article/10.3103/S1066369X19010079