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SUMMARY:Multiple Dedekind Zeta Functions - Horozov\, I (Washington Univers
 ity in St. Louis)
DTSTART:20130408T140000Z
DTEND:20130408T150000Z
UID:TALK44381@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this paper we define multiple Dedekind zeta values (MDZV)\,
  using a new type of iterated integrals\, called iterated integrals on a m
 embrane. One should consider them as generalizations of Euler's multiple z
 eta values to arbitrary number fields. Over imaginary quadratic fields MDZ
 V capture in particular multiple Eisenstein series [ZGK]. We give an analo
 gue of multiple Eisenstein series over real quadratic field. And an altern
 ative definition of values of multiple Eisenstein-Kronecker series [G]. Ea
 ch of them as a special case of multiple Dedekind zeta values. MDZV are in
 terpolated into functions that we call multiple Dedekind zeta functions (M
 DZF). We show that MDZF have integral representation and can be written as
  infinite sums\, and have an analytic continuation. Finally\, we prove tha
 t the multiple residue of a multiple Dedekind zeta function at (1\,...\,1)
  is a period. \n
LOCATION:Seminar Room 1\, Newton Institute
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