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pro vyhledávání: '"Katsurada, Hidenori"'
In this paper, first we give a weak version of Ikeda's conjecture on the period of the Ikeda-Miyawaki lift. Next, we confirm this conjecture rigorously in some cases.
Externí odkaz:
http://arxiv.org/abs/2311.07848
Let $f$ be a primitive form of weight $2k+j-2$ for $SL_2(Z)$, and let $\mathfrak p$ be a prime ideal of the Hecke field of $f$. We denote by $SP_m(Z)$ the Siegel modular group of degree $m$. Suppose that $k \equiv 0 \mod 2, \ j \equiv 0 \mod 4$ and t
Externí odkaz:
http://arxiv.org/abs/2306.07582
Autor:
Katsurada, Hidenori, Kim, Henry H.
We compute the twisted Koecher-Maass series of the first and second kind of the Ikeda type lift for the exceptional group of type $E_{7,3}$. As an application, we obtain their rationality result.
Externí odkaz:
http://arxiv.org/abs/2207.03089
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
Autor:
Katsurada, Hidenori, Kim, Henry H.
For two Hecke eigenforms $h_1$ and $h_2$ in the Kohnen plus space of half-integral weight, let $I_n(h_1)$ and $I_n(h_2)$ be the Duke-Imamoglu-Ikeda lift of $h_1$ and $h_2$, respectively, which are Siegel cusp forms with respect to $Sp_n(\ZZ)$. Moreov
Externí odkaz:
http://arxiv.org/abs/2206.05969
Autor:
Katsurada, Hidenori, Nagaoka, Shoyu
A generalization of Serre's $p$-adic Eisenstein series in the case of Siegel modular forms is studied and a coincidence between a $p$-adic Siegel Eisenstein series and a genus theta series associated with a quaternary quadratic form is proved.
Externí odkaz:
http://arxiv.org/abs/2204.01261
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
Externí odkaz:
http://arxiv.org/abs/2109.10551
Autor:
Katsurada, Hidenori
For a cuspidal Hecke eigenform $F$ for $Sp_n(Z)$ and a Dirichlet character $\chi$ let $L(s,F,\chi,St)$ be the standard $L$-function of $F$ twisted by $\chi$. Boecherer showed the boundedness of denominators of the algebraic part of $L(m,F,\chi,St)$ a
Externí odkaz:
http://arxiv.org/abs/2106.10873
In our previous work, he second and the third named authors constructed the Ikeda type lift for the exceptional group $E_{7,3}$ from an elliptic modular cusp form. In this paper, we prove an explicit formula for the period or the Petersson norm of th
Externí odkaz:
http://arxiv.org/abs/2011.00284
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