Cover Image

Differential operators on Hermitian modular forms on $\mathrm{U}(n, n)$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Takeda, Nobuki
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11F55, 11F60, 11F70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Pullback formula for vector-valued Hermitian modular forms on $\mathrm{U}_{n,n}$
by: Takeda, Nobuki
Published: (2024)

Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$
by: Takeda, Nobuki
Published: (2026)

Shalika newforms for GL(n)
by: Okazaki, Takeo
Published: (2024)

Fourier-Jacobi expansion of automorphic forms generating quaternionic discrete series
by: Narita, Hiro-aki
Published: (2025)

Rationality of quaternionic Eisenstein series on $\mathrm{U}(2,n)$
by: Kim, Henry H., et al.
Published: (2026)

Automorphic side of Taylor-Wiles method for orthogonal and symplectic groups
by: Zhang, Xiaoyu
Published: (2024)

Dimensions of paramodular forms and compact twist modular forms with involutions
by: Ibukiyama, Tomoyoshi
Published: (2022)

Hermitian modular forms and algebraic modular forms on $SO(6)$
by: Ibukiyama, Tomoyoshi, et al.
Published: (2025)

Spectral reciprocity for $\mathrm{GL}(n)$ and simultaneous non-vanishing of central $L$-values
by: Jana, Subhajit, et al.
Published: (2021)

On a Rankin-Selberg integral of three Hermitian cusp forms
by: Bouganis, Thanasis, et al.
Published: (2023)

Some remarks on strong multiplicity one for paramodular forms
by: Wang, Xiyuan, et al.
Published: (2023)

Local-global compatibility and the exceptional zero conjecture for GL(3)
by: Salazar, Daniel Barrera, et al.
Published: (2025)

On the Gan-Gross-Prasad conjecture and its refinement for $\left(\mathrm{U}\left(2n\right),\mathrm{U}\left(1\right)\right)$
by: Furusawa, Masaaki, et al.
Published: (2022)

$L$-functions for $\mathrm{Sp}(2n)\times\mathrm{GL}(k)$ via non-unique models
by: Jin, Yubo, et al.
Published: (2023)

Cohomology classes, periods, and special values of Rankin-Selberg $L$-functions
by: Jin, Yubo, et al.
Published: (2024)

Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass Forms
by: Muthuvel, Vishal
Published: (2026)

Schubert Eisenstein series and Poisson summation for Schubert varieties
by: Choie, YoungJu, et al.
Published: (2021)

Asymptotics of Schwartz functions
by: Hsu, Chun-Hsien
Published: (2021)

Exceptional theta correspondence $\mathbf{F}_{4}\times\mathbf{PGL}_{2}$ for level one automorphic representations
by: Shan, Yi
Published: (2025)

Critical values of $L$-functions of residual representations of $\mathrm{GL}_4$
by: Droschl, Johannes
Published: (2024)

Rankin-Selberg integrals for $\mathrm{GSpin}$ groups with application to the global Gan-Gross-Prasad conjecture
by: Yan, Pan
Published: (2025)

Eisenstein cohomology and congruences for the ratios of Rankin--Selberg $L$-functions
by: Narayanan, P., et al.
Published: (2025)

The quaternionic Maass Spezialschar on split $\mathrm{SO}(8)$
by: Johnson-Leung, Jennifer, et al.
Published: (2024)

Analytic Properties of an Orthogonal Fourier-Jacobi Dirichlet Series
by: Psyroukis, Rafail
Published: (2024)

Quotients of $L$-functions: degrees $n$ and $n-2$
by: Raghunathan, Ravi
Published: (2024)

A Dedekind-Rademacher cocycle for Bianchi groups
by: Klinger-Logan, Kim, et al.
Published: (2025)

An Asymptotic Orthogonality Relation for ${\rm GL}(n, \mathbb R)$
by: Goldfeld, Dorian, et al.
Published: (2022)

Vector-valued orthogonal modular forms
by: Ma, Shouhei
Published: (2022)

Conjectural decomposition of symmetric powers of automorphic representations for $\mathrm{GL}(n)$
by: Tsang, Kin Ming
Published: (2026)

Rethinking the work of Langlands on Eisenstein series
by: Hegde, Devadatta G.
Published: (2026)

Multiplicativity of Fourier Coefficients of Maass Forms for SL($n,\mathbb Z$)
by: Goldfeld, Dorian, et al.
Published: (2025)

Siegel operators for holomorphic differential forms
by: Ma, Shouhei
Published: (2024)

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups
by: Kim, Yeansu, et al.
Published: (2025)

The unramified computation of a Shimura integral for $\mathrm{SL}(2)\times \mathrm{GL}(2)$
by: Yan, Pan
Published: (2022)

A discrepancy result for Hilbert modular forms
by: Balasubramanyam, Baskar, et al.
Published: (2023)

On the vanishing order of Jacobi forms at infinity
by: Li, Jialin, et al.
Published: (2025)

The Harris-Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture
by: Zhang, Robin
Published: (2023)

On deformation rings of residual Galois representations with three Jordan-Holder factors and modularity
by: Huang, Xiaoyu
Published: (2023)

Quantum modular forms and Hecke operators
by: Lee, Seewoo
Published: (2017)

l-Adic representations associated to modular forms over imaginary quadratic fields
by: Berger, Tobias, et al.
Published: (2007)