English

Asymptotics of degenerating Eisenstein series

Complex Variables 2008-11-21 v3 Number Theory

Abstract

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 L2L_{2}-cohomology of the Takhtajan-Zograf metric that is originally asked by To and Weng.

Keywords

Cite

@article{arxiv.0801.3691,
  title  = {Asymptotics of degenerating Eisenstein series},
  author = {Kunio Obitsu},
  journal= {arXiv preprint arXiv:0801.3691},
  year   = {2008}
}

Comments

11 pages, the corrected version

R2 v1 2026-06-21T10:05:56.588Z