Cover Image

Algebraic twists of GL(2) automorphic forms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Nadarajan, Vignesh Arumugam
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bounds for short character sums for $GL(2) \times GL(3)$ twists
by: Ghosh, Aritra
Published: (2021)

Determination of $\textrm{GL}(3)$ cusp forms by central values of quadratic twisted $L$-functions
by: Hua, Shenghao, et al.
Published: (2022)

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

Reciprocity for GL(2) L-functions twisted by Dirichlet characters
by: Dasgupta, Agniva, et al.
Published: (2025)

Generation of cyclotomic Hecke fields by $L$-values of cusp forms on $\mathrm{GL}(2)$ with certain $\mathbb{Z}_p$ twist
by: Kwon, Jaesung
Published: (2024)

Algebraicity of $L$-values for $\text{GSp}_4 \times \text{GL}_2$ and $\text{GSp}_4 \times \text{GL}_2 \times \text{GL}_2$
by: Loeffler, David, et al.
Published: (2023)

Parameters of solvable automorphic forms
by: Uttenthal, Peter Vang
Published: (2025)

Computing the local $2$-component of a non-selfdual automorphic representation of $\mathrm{GL}_3$
by: Hirofumi, Yamamoto
Published: (2026)

Algebraicity of ratios of special $L$-values for $\mathrm{GL}(n)$
by: Rai, Ankit, et al.
Published: (2024)

Quasiautomorphic forms are isomorphic to vector-valued automorphic forms
by: Henry, Michael Andrew
Published: (2026)

Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions
by: Ghosh, Aritra
Published: (2023)

Computation of Fourier coefficients of automorphic forms of type $G_2$
by: Pollack, Aaron
Published: (2024)

Parahoric level $p$-adic $L$-functions for automorphic representations of $\operatorname{GL}_{2n}$ with Shalika models
by: Dimitrov, Mladen, et al.
Published: (2025)

Non-vanishing of geodesic periods of automorphic forms
by: Constantinescu, Petru, et al.
Published: (2024)

Arithmetic transfer for inner forms of $GL_{2n}$
by: Li, Qirui, et al.
Published: (2023)

On finiteness theorems for automorphic forms
by: Yamauchi, Takuya
Published: (2021)

Constructing vector-valued automorphic forms on unitary groups
by: Browning, Thomas L., et al.
Published: (2024)

Kurokawa-Mizumoto congruence and differential operators on automorphic forms
by: Takeda, Nobuki
Published: (2024)

The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$
by: Le, Nhat Hoang
Published: (2025)

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

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $\mathrm{GL}_2$
by: Dotto, Andrea, et al.
Published: (2026)

Mixed fourth moments of automorphic forms and the shifted moments of $L$-functions
by: Guo, Chengliang
Published: (2026)

Lower bounds for moments of quadratic twisted self-dual $\textrm{GL}(3)$ central $L$-values
by: Hua, Shenghao, et al.
Published: (2022)

Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of $\mathrm{GL}_n$
by: Takanashi, Yugo, et al.
Published: (2024)

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

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

Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
by: Tsang, Kin Ming
Published: (2024)

On Periods and $L$-functions for $\mathbf{GL}_4 \times \mathbf{GL}_2$
by: Cauchi, Antonio, et al.
Published: (2026)

Mean squares of quadratic twists of the Fourier coefficients of modular forms
by: Gao, Peng, et al.
Published: (2025)

Hybrid Weyl-type bound for $p$-power twisted $\mathrm{GL} (2)$ $L$-functions
by: Gao, Zhengxiao, et al.
Published: (2023)

Second moment of $\textrm{GL(3)} \times \textrm{GL(2)}$ $L$--functions
by: Kumar, Sumit, et al.
Published: (2026)

Machine learning automorphic forms for black holes
by: Jejjala, Vishnu, et al.
Published: (2025)

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

On Rankin-Selberg integral structures and Euler systems for $\mathrm{GL}_2\times \mathrm{GL}_2$
by: Groutides, Alexandros
Published: (2024)

Integrality of $\mathrm{GL}_2\times\mathrm{GL}_2$ Rankin-Selberg integrals for ramified representations
by: Groutides, Alexandros
Published: (2025)

On the mean value of $\mathrm{GL}_1$ and $\mathrm{GL}_2$ $L$-functions, with applications to murmurations
by: Cowan, Alex
Published: (2025)

Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect
by: Harun, Mohd, et al.
Published: (2023)

Automorphic form twisted Shintani zeta functions over number fields
by: Lee, Eun Hye, et al.
Published: (2024)

Cuspidality criterion for symmetric powers of automorphic representations of GL(2) over function fields
by: Lomeli, Luis, et al.
Published: (2023)

On the Tamagawa number conjecture for modular forms twisted by anticyclotomic Hecke characters
by: Sano, Takamichi
Published: (2025)