Výsledky vyhledávání - "Ikeda, Tamotsu"

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Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift

Autor: Ikeda, Tamotsu, Katsurada, Hidenori

Let $k$ and $n$ be positive even integers. For a Hecke eigenform $h$ in the Kohnen plus subspace of weight $k-n/2+1/2$ for $\varGamma_0(4)$, let $I_n(h)$ be the Duke-Imamoglu-Ikeda lift of $h$ to the space of cusp forms of weight $k$ for $Sp_n(\mathb

Externí odkaz: http://arxiv.org/abs/2206.07337

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An explicit formula for the extended Gross-Keating datum of a quadratic form

Autor: Cho, Sungmun, Ikeda, Tamotsu, Katsurada, Hidenori, Lee, Chul-Hee, Yamauchi, Takuya

In this paper, we give a formula for the extended Gross-Keating datum of a quadratic form defined over a finite extension of $\mathbb{Z}_p$ (for $p>2$) or a finite unramified extension of $\mathbb{Z}_2$. As an application, we describe an explicit for

Externí odkaz: http://arxiv.org/abs/1709.02772

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An explicit formula for the Siegel series of a quadratic form over a non-archimedian local field

Autor: Ikeda, Tamotsu, Katsurada, Hidenori

Let F be a non-archimedian local field of characteristic 0, and O the ring of integres in F. We give an explicit formula for the Siegel series of a half-integral matrix over O. This formula expresses the Siegel series of a half-integral matrix $B$ ex

Externí odkaz: http://arxiv.org/abs/1602.06617

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On the functional equation of the Siegel series

Autor: Ikeda, Tamotsu

It is well-known that the Fourier coefficients of Siegel-Eisenstein series can be expressed in terms of the Siegel series. The functional equation of the Siegel series of a quadratic form over $\mathbb{Q}_p$ was first proved by Katsurada. In this pap

Externí odkaz: http://arxiv.org/abs/1506.01178

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On the Gross-Keating invariant of a quadratic form over a non-archimedean local field

Autor: Ikeda, Tamotsu, Katsurada, Hidenori

Let $B$ be a half-integral symmetric matrix of size $n$ defined over $\mathbb{Q}_p$. The Gross-Keating invariant of $B$ was defined by Gross and Keating, and has important applications to arithmetic geometry. But the nature of the Gross-Keating invar

Externí odkaz: http://arxiv.org/abs/1504.07330

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