H. Katsurada

activity

20052026

most citedCongruence between Duke-Imamoglu-Ikeda lifts and non-Duke-Imamoglu-Ikeda lifts

10 citations · 26 across the 19 of their papers we have counts for

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22 papers · 1 filter

math.NT2026

Harder's conjecture and Hermitian automorphic forms

Hidenori Katsurada, Nobuki Takeda

Let $k \geq 4$ and $j \geq 2$ be integers with $j$ even. Harder's conjecture predicts a congruence between a primitive elliptic cusp form of weight $2 k + j - 2$ and a degree-two vector-value…

math.NT2023

Period of the Ikeda-Miyawaki lift

Tomoyoshi Ibukiyama, Hidenori Katsurada, Hisashi Kojima

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.

math.NT2023

Harder's conjecture II

Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2

Let $f$ be a primitive form of weight $2 k + j - 2$ for $S L_{2} (Z)$ , and let $P$ be a prime ideal of the Hecke field of $f$ . We denote by $S p_{m} (Z)$ the Siegel modular group of degree $m$ .…

math.NT2022

Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type $E_{7, 3}$

Hidenori Katsurada, Henry H. Kim

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 rati…

math.NT2022

Rankin-Selberg convolution for the Duke-Imamoglu-Ikeda lift

Hidenori Katsurada, Henry H. Kim

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 $h_{2}$ , respect…

math.NT2022

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

Tamotsu Ikeda, Hidenori Katsurada

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 $Γ_{0} (4)$ , let $I_{n} (h)$ be the Duke-Imamoglu-Ikeda…

Harder's conjecture and Hermitian automorphic forms

Period of the Ikeda-Miyawaki lift

Harder's conjecture II

Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,3​

Rankin-Selberg convolution for the Duke-Imamoglu-Ikeda lift

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

Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type $E_{7, 3}$