Cover Image

Rationality of quaternionic Eisenstein series on $\mathrm{U}(2,n)$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kim, Henry H., Shan, Yi
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11F30, 11F55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Eisenstein classes and generating series of modular symbols in $\mathrm{SL}_N$
by: Branchereau, Romain
Published: (2024)

Differential operators on Hermitian modular forms on $\mathrm{U}(n, n)$
by: Takeda, Nobuki
Published: (2025)

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

Double Eisenstein series and modular forms of level $4$
by: Kina, Katsumi
Published: (2024)

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

On the rationality of a paramodular Siegel Eisenstein series
by: Pierce, Erin
Published: (2025)

On Averages of Shifted Convolutions with Applications to $GL(2)$ and $GL(3)$ Fourier Coefficients
by: Kim, Jiseong
Published: (2025)

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

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

Level one automorphic representations of an anisotropic exceptional group over $\mathbb{Q}$ of type $\mathrm{F}_{4}$
by: Shan, Yi
Published: (2024)

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

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)

Siegel Eisenstein Series with Paramodular Level
by: Pierce, Erin, et al.
Published: (2025)

Lifting of vector-valued automorphic forms
by: Bajpai, Jitendra, et al.
Published: (2022)

A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series
by: Zhu, Xiao-Jie
Published: (2024)

Newform Eisenstein Congruences of Local Origin
by: Fretwell, Dan, et al.
Published: (2023)

Twisted traces of modular functions on hyperbolic $3$-space
by: Herrero, Sebastián, et al.
Published: (2024)

Recursion formulas for the Fourier coefficients of Siegel Eisenstein series of an odd prime level
by: Gunji, Keiichi
Published: (2025)

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

On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments
by: Kim, Jiseong, et al.
Published: (2025)

On the Symmetric Square Large Sieve for $\mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathrm{PSL}_2 (\mathbb{C}) $ and the Prime Geodesic Theorem for $ \mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathbb{H}^3 $
by: Qi, Zhi
Published: (2024)

Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series
by: Man, Siu Hang
Published: (2020)

On the local $L^2$-Bound of the Eisenstein Series
by: Jana, Subhajit, et al.
Published: (2022)

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

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

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

Fourier Coefficients and Algebraic Cusp Forms on $\mathrm{U}(2,n)$
by: Hilado, Anton, et al.
Published: (2024)

On the Gross-Prasad conjecture with its refinement for $\left(\mathrm{SO}\left(5\right),\mathrm{SO}\left(2\right)\right)$ and the generalized Böcherer conjecture
by: Furusawa, Masaaki, et al.
Published: (2022)

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

Mixed Hodge structures and Siegel operators
by: Ma, Shouhei
Published: (2023)

On $p$-adic adjoint $L$-functions for Bianchi cuspforms: the $p$-split case
by: Lee, Pak-Hin, et al.
Published: (2023)

Eisenstein series of even weight $k \geq 2$ and integral binary quadratic forms
by: Mono, Andreas
Published: (2020)

Klingen Eisenstein series congruences and modularity
by: Berger, Tobias, et al.
Published: (2025)

Rational points on ellipsoids and modular forms
by: Burrin, Claire, et al.
Published: (2024)

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

Hecke Equivariance of Divisor Lifting with respect to Sesquiharmonic Maass Forms
by: Jeon, Daeyeol, et al.
Published: (2024)

Hecke equivariance of the divisor map
by: Jeon, Daeyeol, et al.
Published: (2025)

On the Arakawa lifting Part I: Eichler commutation relations
by: Murase, Atsushi, et al.
Published: (2024)