On Saito-Kurokawa lifting to cohomological Siegel modular forms

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Abstract

We discuss a theta lifting from SL2 to O(3, 2), which will produce a certain class of residual cohomological automorphic forms on the orthogonal group. We will show an explicit formula for their Fourier expansions, in which the constant terms may also occur, by using the Fourier coefficients of a half-integral weight cusp form, which is similar to the classical formula for the holomorphic Saito-Kurokawa lifting at finite places.

Original languageEnglish
Pages (from-to)139-163
Number of pages25
JournalManuscripta Mathematica
Volume114
Issue number2
Publication statusPublished - 2004 Jun

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Siegel Modular Forms
Automorphic Forms
Constant term
Cusp Form
Fourier Expansion
Orthogonal Group
Fourier coefficients
Explicit Formula
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On Saito-Kurokawa lifting to cohomological Siegel modular forms. / Miyazaki, Takuya.

In: Manuscripta Mathematica, Vol. 114, No. 2, 06.2004, p. 139-163.

Research output: Contribution to journalArticle

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