On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms

Takuya Miyazaki

doi:10.1142/S0129167X20500640

On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms

Takuya Miyazaki

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

By extending arguments by Gritsenko, we construct a lifting of skew-holomorphic Jacobi cusp forms of odd weight k + 1 and index N to Siegel paramodular forms of degree 2 with L 2 -integrability.

Original language	English
Article number	2050064
Journal	International Journal of Mathematics
Volume	31
Issue number	8
DOIs	https://doi.org/10.1142/S0129167X20500640
Publication status	Published - 2020 Jul 1

Keywords

Skew-holomorphic Jacobi forms
paramodular forms

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X20500640

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title = "On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms",

abstract = "By extending arguments by Gritsenko, we construct a lifting of skew-holomorphic Jacobi cusp forms of odd weight k + 1 and index N to Siegel paramodular forms of degree 2 with L 2 -integrability. ",

keywords = "Skew-holomorphic Jacobi forms, paramodular forms",

author = "Takuya Miyazaki",

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year = "2020",

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AU - Miyazaki, Takuya

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N2 - By extending arguments by Gritsenko, we construct a lifting of skew-holomorphic Jacobi cusp forms of odd weight k + 1 and index N to Siegel paramodular forms of degree 2 with L 2 -integrability.

AB - By extending arguments by Gritsenko, we construct a lifting of skew-holomorphic Jacobi cusp forms of odd weight k + 1 and index N to Siegel paramodular forms of degree 2 with L 2 -integrability.

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KW - paramodular forms

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JF - International Journal of Mathematics

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On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms

Abstract

Keywords

ASJC Scopus subject areas

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