Geodesic
Some Remarks on Eisenstein Series for Metaplectic Coverings
Canadian journal of mathematics, Tome 35 (1983) no. 6, pp. 974-985

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In recent years the harmonic analysis of n-fold (n > 2) metaplectic coverings of GL 2 has played an increasingly important role in certain aspects of algebraic number theory. In large part this has been inspired by the pioneering work of Kubota (see [3] for example); as an application one could cite the solution by Heath-Brown and Patterson [3] to a question of Kummer's on the distribution of the arguments of cubic Gauss sums. In that paper, Eisenstein series on the 3-fold metaplectic cover of GL 2(A) play a crucial role.The object of this note is to point out that the theory of Eisenstein series can be made to work for a wide class of finite central coverings. Indeed, once the assumptions are made, the usual theory carries over readily, and one obtains a spectral decomposition of the appropriate L 2-space of functions; this is done in Section 2 of this paper. 
Morris, Lawrence. Some Remarks on Eisenstein Series for Metaplectic Coverings. Canadian journal of mathematics, Tome 35 (1983) no. 6, pp. 974-985. doi: 10.4153/CJM-1983-053-4
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