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Titlebook: Regulators in Analysis, Geometry and Number Theory; Alexander Reznikov,Norbert Schappacher Book 2000 Birkhäuser Boston 2000 Volume.algebra

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Algebraic Differential Characters,the global ℂ-valued closed forms of degree 2. having ℤ periods, by the group . . (.,ℂ/ℤ). The group . . (., ℝ/ℤ) (resp. . . (.,ℂ/ℤ) is also presented as an extension of the Betti cohomology group . . (., ℤ) by global ℝ-valued (resp. ℂ-valued) differential forms of degree 2. - 1, modulo the closed ones with ℤ periods.
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Some Computations in Weight 4 Motivic Complexes, motivic complexes which would imply (among others) Zagier’s conjecture on polylogarithms and values of Dedekind zeta functions. As a by-product, we obtain a family of functional equations for the 4-logarithm.
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