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Singular Automorphic Forms

In: Proceedings of the International Congress of Mathematicians

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  • Jian-Shu Li

    (University of Maryland)

Abstract

In the context of holomorphic forms on tube domains, singular automorphic forms were studied by Maass [Maa], Freitag [Fre], and Resnikoff [Res], among others. A holomorphic form is singular if it is annihilated by certain differential operator(s). It is known that this is the case if and only if all its “nondegenerate” Fourier coefficients vanish, and if and only if it has one of the “singular weights”. The equivalence of these properties are far from trivial, and they constitute some of the basic results in the theory.

Suggested Citation

  • Jian-Shu Li, 1995. "Singular Automorphic Forms," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 790-799, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_72
    DOI: 10.1007/978-3-0348-9078-6_72
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