Cover Image

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 2: bounds towards the Ramanujan conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Cheng, Yuhao
Format:	Preprint
Published:	2025
Subjects:	Number Theory Representation Theory 11F30, 11F72
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 1: Poisson summation
by: Cheng, Yuhao
Published: (2025)

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts
by: Cheng, Yuhao
Published: (2026)

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part
by: Cheng, Yuhao
Published: (2025)

Beyond Endoscopy via Poisson Summation for GL(2,K)
by: Emory, Melissa, et al.
Published: (2024)

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)

An explicit formula for the orbital integrals on the spherical Hecke algebra of $\mathrm{GL}_3$
by: Cho, Sungmun, et al.
Published: (2024)

Triality and adjoint lifting for GL(3)
by: Gan, Wee Teck
Published: (2025)

Strongly tempered hyperspherical Hamiltonian spaces
by: Mao, Zhengyu, et al.
Published: (2024)

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect
by: Xu, Zhao
Published: (2025)

The spectral decomposition of shifted convolution sums
by: Blomer, Valentin, et al.
Published: (2007)

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

A GL(3) converse theorem via a "beyond endoscopy'' approach
by: Blomer, Valentin, et al.
Published: (2024)

On the Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
by: Qi, Zhi
Published: (2024)

On the Twisted Spectral Large Sieve Inequality for $\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})$
by: Qi, Zhi
Published: (2024)

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

Root Number Equidistribution for Self-Dual Automorphic Representations on $GL_N$
by: Dalal, Rahul, et al.
Published: (2024)

The sup-norm problem for GL(2) over number fields
by: Blomer, Valentin, et al.
Published: (2016)

Density theorems for $\text{GL}_n$ via Rankin-Selberg $L$-functions
by: Lichtman, Jared Duker, et al.
Published: (2024)

Stabilization of the trace formula for metaplectic groups
by: Li, Wen-Wei
Published: (2021)

Gross's conjecture: the dihedral case
by: Bakić, Petar, et al.
Published: (2025)

Triple product $L$-functions and the Ramanujan conjecture
by: Getz, Jayce R., et al.
Published: (2025)

A generalized PGL(2) Petersson/Bruggeman-Kuznetsov formula for analytic applications
by: Hu, Yueke, et al.
Published: (2024)

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

On an unconditional $\rm GL_3$ analog of Selberg's result
by: Sun, Qingfeng, et al.
Published: (2025)

Inductive construction of supercuspidal $L$-packets
by: Beuzart-Plessis, Raphaël, et al.
Published: (2025)

Motohashi's Formula for the Fourth Moment of Individual Dirichlet $L$-Functions and Applications
by: Kaneko, Ikuya
Published: (2021)

Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case
by: Kwan, Chung-Hang
Published: (2023)

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

An effective version of the Kuznetsov trace formula for GSp(4)
by: Comtat, Félicien, et al.
Published: (2025)

Moduli of $G$-bundles on rigid gerbes over affine curves
by: Dillery, Peter
Published: (2026)

Anomaly-free Hyperspherical Hamiltonian spaces for simple reductive groups
by: Tang, Guodong, et al.
Published: (2026)

The number of automorphic representations of $\mathrm{GL}_2$ with exceptional eigenvalues
by: Choi, Dohoon, et al.
Published: (2024)

Explicit isomorphisms for a Herr-type complex over a metabelian extension
by: Chitrao, Anand, et al.
Published: (2026)

A central limit theorem for Hilbert modular forms
by: Das, Jishu, et al.
Published: (2023)

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

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

Isocrystals and limits of rigid local Langlands correspondences
by: Dillery, Peter
Published: (2023)

Finiteness properties of generalized Montréal functors with applications to mod $p$ representations of $\mathrm{GL}_n(\mathbb{Q}_p)$
by: Jakovác, Gergely, et al.
Published: (2025)

Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification
by: Dalal, Rahul, et al.
Published: (2022)

Global long root $A$-packets for $\mathsf{G}_2$: the dihedral case
by: Bakić, Petar, et al.
Published: (2024)