| In 1981, Zagier explained how the Rankin-Selberg method, originally shown to work with SL2 ( Z )-automorphic forms that decay rapidly at infinity, can be naturally extended to auto morphic forms that behave like i=1ℓ yaii logniy . The technique used is called renormalization.;In this thesis, we identify the full group of functional equations for the renormalized Rankin-Selberg transform of a product of an Eisenstein series and a Hilbert modular Eisenstein series associated to a real quadratic field.;From Zagier's theory, 16 functional equations are trivially expected. The work presented here shows that this object has exactly 48 functional equations. |
