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This paper concerns some novel features of maximal parabolic Eisenstein series at certain special values of their analytic parameter, s. These series arise as coefficients in the R4 and ∂4R4 interactions in the low energy expansion of the scattering amplitudes in maximally supersymmetric string theory reduced to D=10−d dimensions on a torus, Td (0⩽d⩽7). For each d these amplitudes are automorphic...
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