Cover Image

On shifted convolution sums of $\mathrm{GL}(3)$-Fourier coefficients with an average over shifts

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pal, Ritwik, Pal, Sampurna
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11F66 (primary), 11M41 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Second Moment of Rankin-Selberg $L$-Functions in Conductor-Dropping Regimes
by: Humphries, Peter, et al.
Published: (2025)

Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions
by: Ganguly, Soumendra, et al.
Published: (2024)

Explicit zero-free regions for automorphic $L$-functions
by: Creech, Steven, et al.
Published: (2025)

On the density hypothesis for $L$-functions associated with holomorphic cusp forms
by: Chen, Bin, et al.
Published: (2023)

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$
by: Molla, Esrafil Ali
Published: (2025)

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions
by: Michel, Philippe, et al.
Published: (2024)

The Twelfth Moment of Hecke $L$-Functions in the Weight Aspect
by: Humphries, Peter, et al.
Published: (2022)

Second moment of degree three $L$-functions
by: Pal, Sampurna
Published: (2022)

Low-lying zeros in families of Maass form L-functions: an extended density theorem
by: Čech, Martin, et al.
Published: (2025)

Extending the unconditional support in an Iwaniec-Luo-Sarnak family
by: Devin, Lucile, et al.
Published: (2022)

$L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity
by: Humphries, Peter, et al.
Published: (2022)

The second moment of the $GL_3$ standard $L$-function on the critical line
by: Dasgupta, Agniva, et al.
Published: (2024)

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions
by: Aggarwal, Keshav, et al.
Published: (2024)

GL(2) Weyl Bound via a multiplicative character delta method
by: Leung, Wing Hong
Published: (2021)

Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on $\mathrm{SL}_2(\mathbb{Z}) \backslash \mathrm{SL}_2(\mathbb{R})$
by: Bisain, Ankit, et al.
Published: (2024)

The Prime Geodesic Theorem in Arithmetic Progressions
by: Chatzakos, Dimitrios, et al.
Published: (2023)

Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms
by: Tang, Xueyiming, et al.
Published: (2024)

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

The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums
by: Kaneko, Ikuya
Published: (2019)

Mixed Moments of the Riemann Zeta and Dirichlet $L$-Functions
by: Kaneko, Ikuya
Published: (2021)

Uniform approximate functional equation for principal L-functions
by: Harcos, Gergely
Published: (2001)

On certain kernel functions and shifted convolution sums of Hecke eigenvalues
by: Wang, Youjun
Published: (2024)

Spectral Exponential Sums on Hyperbolic Surfaces
by: Kaneko, Ikuya
Published: (2019)

Determination of a pair of newforms from the product of their twisted central values
by: Anamby, Pramath, et al.
Published: (2024)

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound
by: Petrow, Ian, et al.
Published: (2019)

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

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

The Prime Geodesic Theorem and Bounds for Character Sums
by: Kaneko, Ikuya
Published: (2024)

The average analytic rank of elliptic curves with prescribed level structure
by: Cho, Peter J., et al.
Published: (2023)

A local analogue of the ghost conjecture of Bergdall-Pollack
by: Liu, Ruochuan, et al.
Published: (2022)

Distribution of slopes for $\mathscr{L}$-invariants
by: An, Jiawei
Published: (2024)

Special values of Green's functions on hyperbolic $3$-space
by: Herrero, Sebastián, et al.
Published: (2024)

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

A Subconvex Metaplectic Prime Geodesic Theorem and the Shimura Correspondence
by: Kaneko, Ikuya
Published: (2025)

A Fourier-Jacobi Dirichlet series attached to modular forms of $SO(2,4)$
by: Bouganis, Thanasis, et al.
Published: (2025)

Joint equidistribution of newforms
by: Nordentoft, Asbjørn Christian, et al.
Published: (2025)

A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields
by: Kaneko, Ikuya, et al.
Published: (2022)

$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation
by: Flórez, Jorge
Published: (2024)

Kodaira-Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace
by: Diamond, Fred
Published: (2021)

A Note on Large Sums of Divisor-Bounded Multiplicative Functions
by: Frechette, Claire, et al.
Published: (2024)