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SUMMARY:Honorary MZVs and modular forms - Broadhurst\, DJ (Open University
 )
DTSTART:20130408T100000Z
DTEND:20130408T110000Z
UID:TALK44380@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:$ um_{a>b>c>d>e>0}(-1)^{b+d}/(a^3b^6c^3d^6e^3)$ is an alternat
 ing sum with weight 21 and depth 5\, yet has a conjectural expression as a
  Q-linear combination of multiple zeta values (MZVs) that includes a sum o
 f depth 7. The MZV Data Mine [arXiv:0907.2557] contains many other example
 s of "honorary MZVs"\, i.e. alternating sums that are reducible to MZVs\, 
 sometimes at the expense of an increase of depth by an even integer. This 
 talk concerns the conjecture that the enumeration of MZVs that are not red
 ucible to MZVs of lesser depth\, yet are reducible to alternating sums of 
 lesser depth\, is generated by an enumeration of modular forms.\n
LOCATION:Seminar Room 1\, Newton Institute
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