What is 'arch' in Vershik-Kerov's 1984 paper? - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T05:07:40Z http://mathoverflow.net/feeds/question/84019 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84019/what-is-arch-in-vershik-kerovs-1984-paper What is 'arch' in Vershik-Kerov's 1984 paper? Zatrapilla 2011-12-21T18:21:02Z 2011-12-21T18:49:42Z <p>In their 1984 paper <em>Asymptotic of the Largest and the Typical Dimensions of Irreducible Representations of a Symmetric Group</em>, Vershik and Kerov use the notation \$\DeclareMathOperator{\arch}{arch}\arch x\$ to denote some function. This function is crucial in the proof, but I have not been able to figure out what it is. I think it first appears in formula (8) on page 25. I will really appreciate any hints you have to give! Thank you!</p>