Corpus ID: 216642131

Eulerianity of Fourier coefficients of automorphic forms

@article{Gourevitch2020EulerianityOF,
  title={Eulerianity of Fourier coefficients of automorphic forms},
  author={D. Gourevitch and H. Gustafsson and A. Kleinschmidt and D. Persson and S. Sahi},
  journal={arXiv: Number Theory},
  year={2020}
}
We study the question of Eulerianity (factorizability) for Fourier coefficients of automorphic forms, and we prove a general transfer theorem that allows one to deduce the Eulerianity of certain coefficients from that of another coefficient. We also establish a `hidden' invariance property of Fourier coefficients. We apply these results to minimal and next-to-minimal automorphic representations, and deduce Eulerianity for a large class of Fourier and Fourier-Jacobi coefficients. In particular… Expand

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