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Jun 30, 2015 at 22:01 history edited Iosif Pinelis CC BY-SA 3.0
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Jun 30, 2015 at 21:57 comment added Iosif Pinelis Of course, they are the same; sorry for having been too hasty, and thank you for your comment. I have now edited my answer accordingly.
Jun 30, 2015 at 18:45 comment added ofer zeitouni The two forms of Selberg's formula are the same (the form I wrote is from Anderson's proof, which is reproduced in our RMT book with Guionnet; but with some effort, using the n!, you can check they are the same formula). There is a very nice review of Selberg's formula by Forrester, which is highly recommended and entertaining reading. See ams.org/journals/bull/2008-45-04/S0273-0979-08-01221-4/…
Jun 29, 2015 at 3:58 comment added Iosif Pinelis Added a remark that in general the discrete logarithmic energy $2E_{n,a}$ cannot be approximated by its ostensibly more general counterpart $n^2 E_\mu$, for any probability measure $\mu$ on $[0,1]$.
Jun 29, 2015 at 3:56 history edited Iosif Pinelis CC BY-SA 3.0
Added a remark that in general the discrete logarithmic energy $2E_{n,a}$ cannot be approximated by its ostensibly more general counterpart $n^2 E_\mu$, for any probability measure $\mu$ on $[0,1]$.
Jun 28, 2015 at 20:03 history edited Iosif Pinelis CC BY-SA 3.0
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Jun 28, 2015 at 18:01 history answered Iosif Pinelis CC BY-SA 3.0