User anstei - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T09:28:46Z http://mathoverflow.net/feeds/user/643 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111564/what-is-the-plancherel-measure-for-textrmsl-3-mathbbq-p What is the Plancherel Measure for $\textrm{SL}_3(\mathbb{Q}_p)$? anstei 2012-11-05T14:59:33Z 2012-11-06T07:14:32Z <p>I am looking for a description of the Plancherel Measure of $\textrm{SL}_3(\mathbb{Q}_p)$. Has this been calculated yet? I've search many places for it, but I've only found results on real/complex special linear groups and on $p$-adic general linear groups. Any help would be appreciated.</p> http://mathoverflow.net/questions/952/where-are-mathematics-jobs-advertised-if-not-on-mathjobs-e-g-in-europe-and-else/1019#1019 Answer by anstei for Where are mathematics jobs advertised if not on mathjobs (e.g. in Europe and elsewhere)? anstei 2009-10-18T09:33:46Z 2009-10-18T09:33:46Z <p><a href="http://math-jobs.com" rel="nofollow">http://www.math-jobs.com/</a> has quite some European jobs available.</p> http://mathoverflow.net/questions/112157/relation-between-measure-of-sets Comment by anstei anstei 2012-11-12T10:17:39Z 2012-11-12T10:17:39Z The negative vote is not from me. But I agree with HW that some context might help. http://mathoverflow.net/questions/112157/relation-between-measure-of-sets Comment by anstei anstei 2012-11-12T09:29:16Z 2012-11-12T09:29:16Z The LHS is simply $\mu(A\cap B)$ by finite additivity. http://mathoverflow.net/questions/111715/the-structure-of-the-set-of-zeroes-of-zeta-function Comment by anstei anstei 2012-11-07T10:09:16Z 2012-11-07T10:09:16Z I'm not sure what you're looking for. Since Riemann Zeta can be extended to a meromorphic function, it's zeroes are discrete. Also, the set is infinite. Could you elaborate on what properties you are interested in? http://mathoverflow.net/questions/111564/what-is-the-plancherel-measure-for-textrmsl-3-mathbbq-p Comment by anstei anstei 2012-11-06T15:25:14Z 2012-11-06T15:25:14Z I'm studying the local parameters of $\textrm{SL}_3(\mathbb{Z})$-automorphic Hecke eigenfunctions. We already have a measure $\mu_T$ satisfying $lim_{T \to \infty} \int_{\textrm{SL}_3(\mathbb{Q}_p)-\textrm{spectrum}} \chi_\rho(\pi) d \mu_T(\pi) = \alpha_p(\rho)$ and I'm looking for the limiting measure $\lim_{T \to \infty} \mu_T$. A natural candidate is the Plancherel measure. http://mathoverflow.net/questions/111564/what-is-the-plancherel-measure-for-textrmsl-3-mathbbq-p/111625#111625 Comment by anstei anstei 2012-11-06T13:12:20Z 2012-11-06T13:12:20Z Thank you, I will look up these references and see what I can get from those.