Reference on Casselman-Shalika formula for GL(n) and PGL(n)? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T20:18:43Z http://mathoverflow.net/feeds/question/114579 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/114579/reference-on-casselman-shalika-formula-for-gln-and-pgln Reference on Casselman-Shalika formula for GL(n) and PGL(n)? 7-adic 2012-11-26T20:14:20Z 2012-11-26T22:17:36Z <p>I am looking for reference on Casselman-Shalika formula for GL(n) and PGL(n) at finite place p.</p> http://mathoverflow.net/questions/114579/reference-on-casselman-shalika-formula-for-gln-and-pgln/114592#114592 Answer by BR for Reference on Casselman-Shalika formula for GL(n) and PGL(n)? BR 2012-11-26T22:17:36Z 2012-11-26T22:17:36Z <p>In <a href="http://projecteuclid.org/DPubS?service=UI&amp;version=1.0&amp;verb=Display&amp;handle=euclid.pja/1195518347" rel="nofollow">this paper</a>, Shintani proves the Casselman-Shalika(-Shintani) formula for GL(n). This preceded Casselman-Shalika's <a href="http://www.numdam.org/item?id=CM_1980__41_2_207_0" rel="nofollow">paper</a> by a few years. Several of <a href="http://www.math.osu.edu/~cogdell.1/" rel="nofollow">Cogdell's</a> expository articles on L-functions have easy-to-read descriptions of the formula.</p>