NAME:  David Bradley
ADDRESS: __Dept. Mathematics & Statistics__
         __University of Maine___________
         __5752 Neville Hall_____________
         __Orono, ME 04469-5752_______
EMAIL ADDRESS: bradley@gauss.umemat.maine.edu
 
TITLE OF TALK:  Resolution of Some Open Problems Concerning Multiple 
                Zeta Evaluations of Arbitrary Depth
 
ABSTRACT OF TALK: 
Some new evaluations for multiple polylogarithms of arbitary depth,
including evaluations for certain alternating unit Euler sums are 
given.  The simplest of these results is a multiple zeta evaluation one 
order of complexity beyond the well-known Broadhurst-Zagier 
formula.  A proof of what was until recently one of the few remaining 
outstanding conjectures in the Borwein-Bradley-Broadhurst   
compendium is also given.  
 
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