Nobuki Takeda

activity

20242026

most citedKurokawa-Mizumoto congruence and differential operators on automorphic forms

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2026

Primitive Fourier Coefficients of Hermitian Klingen-Eisenstein Series

Nobuki Takeda

Let $E / F$ be a CM extension and let $1 \leq r < n$ . We determine primitive Fourier coefficients of Hermitian Klingen-Eisenstein series on $U_{n, n}$ induced from cusp forms on…

math.NT2026

Even-degree Hermitian Ikeda lifts via Fourier-Jacobi descent

Nobuki Takeda

Let $E / F$ be a CM extension and let $m \geq 2$ be an even integer. Starting from the odd-degree Hermitian Ikeda lift of degree $m + 1$ constructed by Yamana, we construct a Hermitian I…

math.NT2026

Fourier Coefficients of Siegel-Eisenstein Series of Degree $2 m$ and Weight $m + 1$

Nobuki Takeda

We study Fourier coefficients of the Siegel-Eisenstein series $E_{m + 1}^{(2 m)} (Z)$ for $m \equiv 1 (mod 4)$ and $m \geq 5$ . Using the Fourier expansion formula due to Mizumoto, we determi…

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.NT2026

Congruences between Klingen-Eisenstein series and cusp forms on $U_{n, n}$

Nobuki Takeda

In this paper, we study congruences of Hecke eigenvalues between Hermitian Klingen-Eisenstein series and cusp forms on the unitary group $U_{n, n}$ defined over the rationa…

math.NT2025

Differential operators on Hermitian modular forms on $U (n, n)$

Nobuki Takeda

We construct explicit differential operators on hermitian modular forms, extending methods developed for Siegel modular forms. These differential operators are closely related to t…

math.NT2024

Pullback formula for vector-valued Hermitian modular forms on $U_{n, n}$

Nobuki Takeda

We give the pullback formula for vector-valued Hermitian modular forms on CM field. We also give the equivalent condition for a differential operator on Hermitian modular forms to…

math.NT2024★ 2 cited

Kurokawa-Mizumoto congruence and differential operators on automorphic forms

Nobuki Takeda

We give the sufficient conditions for the vector-valued Kurokawa-Mizumoto congruence related to the Klingen-Eisenstein series to hold. And we give a reinterpretation for differenti…

Primitive Fourier Coefficients of Hermitian Klingen-Eisenstein Series

Even-degree Hermitian Ikeda lifts via Fourier-Jacobi descent

Fourier Coefficients of Siegel-Eisenstein Series of Degree 2m and Weight m+1

Harder's conjecture and Hermitian automorphic forms

Congruences between Klingen-Eisenstein series and cusp forms on Un,n​

Differential operators on Hermitian modular forms on U(n,n)

Pullback formula for vector-valued Hermitian modular forms on Un,n​

Kurokawa-Mizumoto congruence and differential operators on automorphic forms

Fourier Coefficients of Siegel-Eisenstein Series of Degree $2 m$ and Weight $m + 1$

Congruences between Klingen-Eisenstein series and cusp forms on $U_{n, n}$

Differential operators on Hermitian modular forms on $U (n, n)$

Pullback formula for vector-valued Hermitian modular forms on $U_{n, n}$