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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207   2004-2005 MATHEMATICS COLLOQUIUM SERIES 11/15/04 Colloquium PROFESSOR CHRISTIAN BERG UNIVERSITY OF COPENHAGEN     will speak on   The median in the Gamma distribution             The gamma distribution with parameter  has the density with respect to Lebesgue measure on given by .  We consider the median  of this distribution defined implicitly as . J. Chen and H. Rubin conjectured in 1986 that the sequence  decreases.  In 1994 K.P. Choi found the asymptotic formula and related the expansion to a problem of Ramanujan. Using this expansion the conjecture of Chen and Rubin has been established recently by H. Alzer. In joint work with Henrik L. Pedersen we have proved the stronger result that  for all . In addition we have found some uniform estimates of  and the first 10 terms of the asymptotic series for . The proof uses complex analysis.