Alvaro Alvarez-Parrilla

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Following the work of Wolpert Wol98], we nd a set of asymptotic relations among the Fourier coeecients of real-analytic Eisenstein series. The relations are found by evaluating the integral of the product of an Eisenstein series ' ir with an exponential factor along a horocycle. We evaluate the integral in two ways by exploiting the automorphicity of ' ir ;(More)
An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL 2 (R). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an(More)
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