哈德猜想1

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-09-22 DOI:10.2969/jmsj/87988798

Hiraku Atobe, Masataka Chida, T. Ibukiyama, H. Katsurada, Takuya Yamauchi

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引用次数: 2

摘要

设$f$是关于$SL_2（Z）$的基元形式。然后，我们提出了关于$f$的Duke Imamoglu Ikeda提升的Klingen-Eisenstein提升与向量值Hecke本征形式关于$Sp_2（Z）$的某个提升之间的一致性的猜想。这个猜想暗示了哈德猜想。我们在某些情况下证明了上述猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Harder's conjecture I

Let $f$ be a primitive form with respect to $SL_2(Z)$. 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 $Sp_2(Z)$. This conjecture implies Harder's conjecture. We prove the above conjecture in some cases.

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).