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- Miyazaki Takuya
- Department of Mathematics, Keio University
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抄録
We introduce a Siegel-Eisenstein series of degree 2 which generates a cohomological representation of Saito-Kurokawa type at the real place. We study its Fourier expansion in detail, which is based on an investigation of the confluent hypergeometric functions with spherical harmonic polynomials. We will also consider certain Mellin transforms of the Eisenstein series, which are twisted by cuspidal Maass wave forms, and show their holomorphic continuations to the whole plane.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 63 (2), 599-646, 2011
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116259200
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- NII論文ID
- 10029321736
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 11060294
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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