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SUMMARY:Ryotaro Harada (National Center for Theoretical Sciences)
DTSTART:20201215T084000Z
DTEND:20201215T091000Z
DTSTAMP:20260423T010857Z
UID:JENTE/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/20/">O
 n the dimension of the space generated by multizeta values in characterist
 ic p</a>\nby Ryotaro Harada (National Center for Theoretical Sciences) as 
 part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nIn 1994
 \, Don Zagier gave a conjecture about the dimension of the space generated
  by the power of $2\\pi i$ and double zeta values with fixed weight. In 20
 16\, Chieh-Yu Chang tackled this problem in characteristic $p$ case and ob
 tained a lower bound of the dimension of the space generated by the power 
 of Carlitz period and characteristic $p$ double zeta values with fixed wei
 ght.\n\nIn this talk\, we prove that the set of characteristic $p$ multize
 ta values whose indices are "$g$-independent" is a linearly independent se
 t over the rational function field of characteristic $p$. This gives a gen
 eralization of Chang’s result to the case of depth greater than 2. \n\nT
 his is a joint work with Yen-Tsung Chen in National Tsing Hua University.\
 n
LOCATION:https://researchseminars.org/talk/JENTE/20/
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