Title |
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Trace identities of twisted Hecke operators on the spaces of cusp forms of half-integral weight
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Creator |
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Subject |
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Other
Trace identity
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Other
twisting operator
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Other
half-integral weight
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Other
Hecke operator
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Other
cusp form
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Description |
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Other
type:Article
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Other
Let $R_{psi}$ be a twisting operator for a quadratic primitive character $psi$ and $ilde{T}(n^2)$ the $n^2$-th Hecke operator of half-integral weight. When $psi$ has an odd conductor, we already found trace identities between twisted Hecke operators $R_{psi} ilde{T}(n^2)$ of half-integral weight and certain Hecke operators of integral weight for almost all cases (cf. [U1--3]). In this paper, the restriction is removed and we give similar trace identities for every quadratic primitive character $psi$, including the case that $psi$ has an even conductor.
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Publisher |
日本学士院
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Date |
Created2010-02-01
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Issued2004
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Language |
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Resource Type |
journal article |
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VoR |
Identifier |
URI
http://hdl.handle.net/10935/1428
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Relation |
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isIdenticalTo
DOI
https://doi.org/10.3792/pjaa.80.131
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Journal |
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NCID
AA00785474
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ISSN
0386-2194
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Proceedings Japan Academy Ser. A
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Volume Number80
Issue Number7
Page Start131
Page End135
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File |
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Oaidate |
2023-08-20 |