Cover Image

Explicit zero-free regions for automorphic $L$-functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Creech, Steven, Hamieh, Alia, Khunger, Simran, Sinha, Kaneenika, Streipel, Jakob, Tsang, Kin Ming
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11M41, 11M26 (primary), 11F11, 11F66, 11F67 (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)

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

On shifted convolution sums of $\mathrm{GL}(3)$-Fourier coefficients with an average over shifts
by: Pal, Ritwik, et al.
Published: (2025)

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

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

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

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

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

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

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)

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

Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields
by: Humphries, Peter, et al.
Published: (2022)

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)

A new zero-free region for Rankin-Selberg $L$-functions
by: Harcos, Gergely, et al.
Published: (2023)

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

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

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

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

A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms
by: Sun, Qingfeng, et al.
Published: (2024)

Periods of modular forms and applications to the conjectures of Oda and of Prasanna-Venkatesh
by: Guitart, Xavier, et al.
Published: (2025)

$L$-values of certain weight 3 Modular Forms and Transformations of Hypergeometric Series
by: Rosen, Esme
Published: (2024)

A note on the standard zero-free region for $L$-functions
by: Leung, Sun-Kai
Published: (2024)

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

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

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

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

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

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

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

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

Tatuzawa's theorem for Rankin-Selberg $L$-functions
by: Harcos, Gergely, et al.
Published: (2025)

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

Low-lying zeros of Hilbert modular $L$-functions weighted by powers of central $L$-values
by: Wei, Zhining, et al.
Published: (2025)

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

Negative first moment of quadratic twists of $L$-functions
by: Gao, Peng, et al.
Published: (2023)

Arithmetic statistics for Galois deformation rings
by: Ray, Anwesh, et al.
Published: (2021)

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

A weighted vertical Sato-Tate law for Maaß forms on $\rm{GSp}_4$
by: Comtat, Félicien
Published: (2024)

The Prime Geodesic Theorem for the Picard Orbifold
by: Kaneko, Ikuya
Published: (2024)

On the Pair Correlation of Zeros of $L$-Functions for Non-CM Newforms in Shifted Ranges
by: Liu, Di, et al.
Published: (2024)