On Hermitian modular forms of small weight over imaginary quadratic fields

Hisashi Kojima; Yasuhide Miura; Hiroshi Sakata; Yasushi Tokuno

doi:10.2996/kmj/1364562717

On Hermitian modular forms of small weight over imaginary quadratic fields

Hisashi Kojima^*, Yasuhide Miura, Hiroshi Sakata, Yasushi Tokuno

^*Corresponding author for this work

Waseda University Senior High School

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

Abstract

In this paper, we prove that an Hermitian modular form with small weight over the quadratic field with class number one is a linear combination of theta series associated with Hermitian quadratic forms.

Original language	English
Pages (from-to)	50-55
Number of pages	6
Journal	Kodai Mathematical Journal
Volume	36
Issue number	1
DOIs	https://doi.org/10.2996/kmj/1364562717
Publication status	Published - 2013

Keywords

Hermitian modular form
Singular form

ASJC Scopus subject areas

Mathematics(all)

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10.2996/kmj/1364562717

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title = "On Hermitian modular forms of small weight over imaginary quadratic fields",

abstract = "In this paper, we prove that an Hermitian modular form with small weight over the quadratic field with class number one is a linear combination of theta series associated with Hermitian quadratic forms.",

keywords = "Hermitian modular form, Singular form",

author = "Hisashi Kojima and Yasuhide Miura and Hiroshi Sakata and Yasushi Tokuno",

year = "2013",

doi = "10.2996/kmj/1364562717",

language = "English",

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pages = "50--55",

journal = "Kodai Mathematical Journal",

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AU - Kojima, Hisashi

AU - Miura, Yasuhide

AU - Sakata, Hiroshi

AU - Tokuno, Yasushi

PY - 2013

Y1 - 2013

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KW - Hermitian modular form

KW - Singular form

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JO - Kodai Mathematical Journal

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On Hermitian modular forms of small weight over imaginary quadratic fields

Abstract

Keywords

ASJC Scopus subject areas

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