Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses

DOI10.4064/AA230529-26-9MaRDI QIDQ6595588

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Publication date: 30 August 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

random matrix theory low-lying zeros cuspidal newforms hypothesis S Katz-Sarnak conjecture

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

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Low-lying zeros of quadratic Dirichlet $L$-functions, hyper-elliptic curves and random matrix theory
Low-lying zeros of number field $L$-functions
A unitary test of the Ratios Conjecture
Low-lying zeros of $L$-functions with orthogonal symmetry
A hybrid Euler-Hadamard product for the Riemann zeta function
Autocorrelation of ratios of $L$-functions
Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
Low-lying zeros of $L$-functions and random matrix theory
Low-lying zeros of dihedral $L$-functions
Zeros of principal $L$-functions and random matrix theory
Surpassing the ratios conjecture in the 1-level density of Dirichlet $L$-functions
Bounding vanishing at the central point of cuspidal newforms
Optimal test functions for detecting central point vanishing over families of $L$-functions
Sato-Tate theorem for families and low-lying zeros of automorphic $L$-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.
Small zeros of $L$-functions of modular forms
Maass Waveforms and Low-Lying Zeros
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond
The $n$-level densities of low-lying zeros of quadratic Dirichlet $L$-functions
Determining Optimal Test Functions for Bounding the Average Rank in Families of 𝐿-Functions
The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI
Statistics for low-lying zeros of symmetric power L-functions in the level aspect
The low lying zeros of a GL(4) and a GL(6) family of $L$-functions
Small eigenvalues of Laplacian for $Γ_{0}(N)$
The effect of convolving families of L -functions on the underlying group symmetries
Pair correlation of zeros of the zeta function.
Zeroes of zeta functions and symmetry
Mock-Gaussian behaviour for linear statistics of classical compact groups
Spacing of zeros of Hecke L-functions and the class number problem
On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
On the Distribution of Spacings Between Zeros of the Zeta Function
Linear Statistics of Low-Lying Zeros of L-Functions
One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries
Low-Lying Zeros of Maass Form L-Functions
Small zeros of quadratic L-functions
Applications of theL-functions ratios conjectures
A random matrix model for elliptic curveL-functions of finite conductor
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions
Notes on elliptic curves. II.
Low-lying zeros of families of elliptic curves
Notes on elliptic curves. I.
Low lying zeros of families of $L$-functions
Determining optimal test functions for 2-level densities

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Extending the support of 1- and 2-level densities for cusp form \(L\)-functions under square-root cancellation hypotheses