Title |
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en
Trace formula and trace identity of twisted Hecke operators on the spaces of cusp forms of weight k+1/2 and level 32M
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Alternative |
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Creator |
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ja
上田,勝
ja-Kana
うえだ,まさる
en
Ueda,Masaru
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Subject |
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Other
en
half-integral weight
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Other
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Hecke operator
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Other
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trace formula
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Other
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trace identity
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Other
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twisting operator
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Description |
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Abstract
en
Let M be an odd positive integer, χ an even quadratic character defined modulo 32M, and ψ a quadratic primitive character of conductor divisible by 8. Then, we can define twisted Hecke operators RψT(n2) on the space of cusp forms of weight k þ 1=2, level 32M, and character χ, under certain conditions on the conductors of χ and ψ This is a specific feature of the case of half-integral weight. We give explicit trace formulas of the twisted Hecke operators and their trace identities.
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Publisher |
en
The Japan Academy
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
VoR |
Identifier |
HDL
http://hdl.handle.net/10935/910
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URI
https://nara-wu.repo.nii.ac.jp/records/2002179
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Relation |
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NCID
AA00785463
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isVersionOf
DOI
https://doi.org/10.3792/pjaa.85.11
10.3792/pjaa.85.11
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Journal |
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en
Proceedings of the Japan Academy, Series.A,
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Volume Number85
Issue Number2
Page Start11
Page End15
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File |
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Oaidate |
2024-08-11 |