ScalingStacks

Lemma 3.9 . [042M]

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Lemma 3.9.

The sum β~1+β~2+β~0=π​cot⁡(π​η)\tilde{\beta}_{1}+\tilde{\beta}_{2}+\tilde{\beta}_{0}=\pi\cot(\pi\eta). Equivalently,

ζ~1+ζ~2+ζ~0=d​log⁡(1−e2​π​−1​η).\tilde{\zeta}_{1}+\tilde{\zeta}_{2}+\tilde{\zeta}_{0}=d\log(1-e^{2\pi\sqrt{-1}\eta}).

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