Eisenstein series for O(2,n+2)

2023/08/21 by Krieg, Aloys, Schaps, Felix, Römer, Hannah
#11F55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.10709

Abstract

We will characterize the Eisenstein series for O(2, n + 2) as a particular Hecke eigenform. As an application we show that it belongs to the associated Maaß space. If the underlying lattice is even and unimodular, this leads to an explicit formula of the Fourier coefficients.

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