Fourier Coefficients and Algebraic Cusp Forms on U (2, n)

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Abstract

We establish a theory of scalar Fourier coefficients for a class of non-holomorphic, automorphic forms on the quaternionic real Lie group U (2, n). By studying the theta lifts of holomorphic modular forms from U (1, 1), we apply this theory to obtain examples of non-holomorphic cusp forms on U (2, n) whose Fourier coefficients are algebraic numbers.

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Hilado et al. (Fri,) studied this question.

synapsesocial.com/papers/68e6d7e9b6db643587654c4b https://doi.org/https://doi.org/10.48550/arxiv.2404.17743

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