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- Atobe Hiraku
- Department of Mathematics, Hokkaido University
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- Chida Masataka
- School of Science and Technology for Future Life, Tokyo Denki University
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- Ibukiyama Tomoyoshi
- Department of Mathematics, Graduate School of Science, Osaka University
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- Katsurada Hidenori
- Department of Mathematics, Hokkaido University and Muroran Institute of Technology
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- Yamauchi Takuya
- Mathematical Institute, Tohoku University
抄録
<p>Let 𝑓 be a primitive form with respect to SL2(ℤ). Then, we propose a conjecture on the congruence between the Klingen–Eisenstein lift of the Duke–Imamoglu–Ikeda lift of 𝑓 and a certain lift of a vector valued Hecke eigenform with respect to Sp2(ℤ). This conjecture implies Harder's conjecture. We prove the above conjecture in some cases.</p>
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 75 (4), 1339-1408, 2023
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
- 1390860852413836672
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- ISSN
- 18811167
- 18812333
- 00255645
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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
- Crossref
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可