RamanujanTauTheta[2 z] == RamanujanTauTheta[z] + RamanujanTauTheta[z + I/2] + (1/2) I (Log[2 Pi] + Sum[Log[3 + k + I z], {k, 0, 2}] - Sum[Log[3 + k - I z], {k, 0, 2}] + Sum[Log[7/2 + k + I z], {k, 0, 1}] - Sum[Log[7/2 + k - I z], {k, 0, 2}]) + 2 z Log[2]

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2007-05-02