Nobuki Takeda

collaborators

5 papers

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 Hecke cusp form of weight $2 k + j - 2$ and a degree $2$ ve…

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

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.NT2026

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.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…

Harder's conjecture and Hermitian automorphic forms

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

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

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

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

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

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

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

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