English

Renormalization of integrals of Eisenstein series and analytic continuation of representations

Number Theory 2019-01-07 v2

Abstract

We combine Zagier's theory of renormalizable automorphic functions on the hyperbolic plane with the analytic continuation of representations of SL(2,R)\mathrm{SL}(2,\mathbb{R}) due to Bernstein and Reznikov to study triple products of Eisenstein series of arbitrary (in particular, non-arithmetic) non-compact finite-volume hyperbolic surfaces.

Keywords

Cite

@article{arxiv.1809.07605,
  title  = {Renormalization of integrals of Eisenstein series and analytic continuation of representations},
  author = {Samuel C. Edwards},
  journal= {arXiv preprint arXiv:1809.07605},
  year   = {2019}
}