Determining optimal test functions for 2-level densities (Q6159113)

scientific article; zbMATH DE number 7691095

Language	Label	Description	Also known as
English	Determining optimal test functions for 2-level densities	scientific article; zbMATH DE number 7691095

Statements

instance of

scholarly article

0 references

title

Determining optimal test functions for 2-level densities (English)

0 references

zbMATH Open document ID

0 references

0 references

10.1007/s40993-022-00367-0

0 references

0 references

0 references

0 references

0 references

0 references

Research in Number Theory

0 references

publication date

1 June 2023

0 references

full work available at URL

https://arxiv.org/abs/2011.10140

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

random matrix theory

0 references

$L$-functions

0 references

low-lying zeros

0 references

optimal test functions

0 references

Fredholm theory

0 references

MaRDI profile type

MaRDI publication profile

0 references

OpenAlex ID

W4366270995

0 references

cites work

Maass Waveforms and Low-Lying Zeros

0 references

From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond

0 references

Notes on elliptic curves. I.

0 references

Notes on elliptic curves. II.

0 references

On the spacing distribution of the Riemann zeros: corrections to the asymptotic result

0 references

Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation

0 references

Q2762113

0 references

Integral moments of L-functions

0 references

Autocorrelation of ratios of $L$-functions

0 references

Spacing of zeros of Hecke L-functions and the class number problem

0 references

Applications of theL-functions ratios conjectures

0 references

Q3900124

0 references

The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI

0 references

A random matrix model for elliptic curveL-functions of finite conductor

0 references

The low lying zeros of a GL(4) and a GL(6) family of $L$-functions

0 references

The effect of convolving families of L -functions on the underlying group symmetries

0 references

Low-lying zeros of quadratic Dirichlet $L$-functions, hyper-elliptic curves and random matrix theory

0 references

Surpassing the ratios conjecture in the 1-level density of Dirichlet $L$-functions

0 references

Low-lying zeros of dihedral $L$-functions

0 references

Pair correlation of zeros of the zeta function.

0 references

Q4113910

0 references

On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions

0 references

A unitary test of the Ratios Conjecture

0 references

A hybrid Euler-Hadamard product for the Riemann zeta function

0 references

Q4673240

0 references

Q4317279

0 references

Low-lying zeros of $L$-functions with orthogonal symmetry

0 references

Mock-Gaussian behaviour for linear statistics of classical compact groups

0 references

Linear Statistics of Low-Lying Zeros of L-Functions

0 references

Q4830109

0 references

Low lying zeros of families of $L$-functions

0 references

Q4226082

0 references

Zeroes of zeta functions and symmetry

0 references

Random matrix theory and $\zeta(1/2+it)$.

0 references

Random matrix theory and $L$-functions at $s=1/2$.

0 references

Random matrices andL-functions

0 references

The n-level densities of low-lying zeros of quadratic Dirichlet L-functions

0 references

One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries

0 references

Investigations of Zeros near the Central Point of Elliptic CurveL-Functions

0 references

A Symplectic Test of the L-Functions Ratios Conjecture

0 references

An orthogonal test of the L -functions Ratios conjecture

0 references

An orthogonal test of the L-functions Ratios Conjecture, II

0 references

Low-lying zeros of number field $L$-functions

0 references

Q3213195

0 references

On the Distribution of Spacings Between Zeros of the Zeta Function

0 references

Q4550209

0 references

Small zeros of quadratic L-functions

0 references

On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis

0 references

Statistics for low-lying zeros of symmetric power L-functions in the level aspect

0 references

Petits zéros de fonctions L de formes modulaires

0 references

Low-lying zeros of $L$-functions and random matrix theory

0 references

Chebyshev's Bias

0 references

Zeros of principal $L$-functions and random matrix theory

0 references

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.

0 references

Q5461857

0 references

Low-lying zeros of families of elliptic curves

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6159113