Renormalization of integrals of Eisenstein series and analytic continuation of representations

2018/09/20 by Edwards, Samuel C.
#11F30 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.07605

Abstract

We combine Zagier's theory of renormalizable automorphic functions on the hyperbolic plane with the analytic continuation of representations of SL(2,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.

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