Asymptotics of degenerating Eisenstein series

Mathematics – Complex Variables

Scientific paper

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11 pages, the corrected version

Scientific paper

We give some estimates for the asymptotic orders of degenerating Eisenstein
series for some families of degenerating punctured Riemann surfaces, which is
motivated by the question identifying $L_{2}$-cohomology of the
Takhtajan-Zograf metric that is originally asked by To and Weng.

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