Cover Image

Whittaker functions on ${\rm GL}_n$ via theta lifting

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Shih-Yu, Cheng, Yao
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Period relations between the Betti-Whittaker periods for ${\rm GL}_n$ under duality
by: Chen, Shih-Yu
Published: (2023)

Tate cohomology of Whittaker lattices and base change of generic representations of ${\rm GL}_n$
by: Dhar, Sabyasachi, et al.
Published: (2022)

Explicit formula for the $(\text{GL}_2, \text{GL}_2)$ theta lift via Bruhat decomposition
by: Xu, Peter
Published: (2024)

On gamma factors of generic representations of ${\rm U}_{2n+1}\times{\rm Res}_{E/F}{\rm GL}_r$
by: Cheng, Yao, et al.
Published: (2023)

Uniform Integrality of critical values of the Rankin-Selberg $L$-function for ${\rm GL}_{n}\times {\rm GL}_{n-1}$
by: Hara, Takashi, et al.
Published: (2023)

Godement--Jacquet L-function and homological theta lifting
by: Chen, Rui, et al.
Published: (2025)

Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals
by: Hirano, Miki, et al.
Published: (2024)

Test Schwartz functions at $p$ for theta lifts of Hida families
by: Liu, Zheng
Published: (2025)

Hybrid subconvexity bounds for twists of $\rm GL_2\times\rm GL_2$ $L$-functions
by: Shao, Chenchen, et al.
Published: (2025)

A note on small theta lift
by: Chai, Jingsong
Published: (2026)

Ikeda type lift on ${\rm SO}(3,n+1)$
by: Kim, Henry H., et al.
Published: (2025)

The tower property on the genericity of global theta lifts
by: Haan, Jaeho, et al.
Published: (2024)

Whittaker functions for Steinberg representations of $GL(n)$ over a $p$-adic field
by: Baruch, Ehud Moshe, et al.
Published: (2023)

Subconvexity for $\rm GL_2 \times GL_2$ $L$-functions in the depth aspect
by: Zhu, Tengyou
Published: (2025)

$p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II
by: Liu, Zheng
Published: (2024)

Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part II: Existence via integration by parts
by: Kim, Doyon
Published: (2024)

Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions
by: Huang, Bingrong, et al.
Published: (2024)

A regularized theta lift on the symmetric space of $SL_N$
by: Branchereau, Romain
Published: (2025)

Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part I: Combinatorics
by: Kim, Doyon
Published: (2024)

Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Uniqueness
by: Cheng, Yao
Published: (2025)

Petersson norms of Borcherds theta lifts to O(1, 8n+1) with applications to injectivity and sup-norm bounds
by: Marshall, Simon, et al.
Published: (2024)

Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction
by: Cheng, Yao
Published: (2026)

Parity results for the reciprocals of false theta functions
by: Jin, Jing, et al.
Published: (2025)

First moments of ${\rm{GL}} (3) \times {\rm{GL}} (2)$ and ${\rm{GL}} (2)$ $L$-functions and their applications
by: Hou, Fei
Published: (2025)

Families over the integral Bernstein Center and Tate cohomology of local Base change lifts for GL(n, F)
by: Dhar, Sabyasachi, et al.
Published: (2024)

Cuspidal $\ell$-modular representations of ${\rm GL}_n(F)$ distinguished by a Galois involution, II
by: Kurinczuk, Robert, et al.
Published: (2026)

Matchings of theta lifts associated to Non-trivial Automorphic Characters of Odd Orthogonal Groups
by: Erez, Ron
Published: (2024)

On loop Deligne--Lusztig varieties of Coxeter-type for inner forms of ${\rm GL}_n$
by: Chan, Charlotte, et al.
Published: (2019)

Some identities on the second order mock theta functions
by: Cai, Xingyuan, et al.
Published: (2026)

Base change and Iwasawa Main Conjectures for ${\rm GL}_2$
by: Burungale, Ashay, et al.
Published: (2024)

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions
by: Hou, Fei
Published: (2025)

Clebsch-Gordan and the theta filtration for modular representations of $\mathrm{GL}_2({\mathbb F}_q)$
by: Bhattacharjee, Srijeet, et al.
Published: (2025)

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

On string functions of the generalized parafermionic theories, mock theta functions, and false theta functions
by: Borozenets, Nikolay, et al.
Published: (2024)

Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function
by: Jin, Jing, et al.
Published: (2025)

Algebraicity of adjoint $L$-functions for quasi-split groups
by: Chen, Shih-Yu
Published: (2025)

Global theta lifting and automorphic periods associated to nilpotent orbits
by: Jun, Bryan Wang Peng
Published: (2023)

On string functions of the generalized parafermionic theories, mock theta functions, and false theta functions, II
by: Borozenets, Nikolay, et al.
Published: (2025)

Discrete series representations of quaternionic ${\rm GL}_n(D)$ with symplectic periods
by: Matringe, Nadir, et al.
Published: (2025)

Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups
by: Boisseau, Paul
Published: (2024)