Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields
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Publication:2220461
DOI10.1016/j.jnt.2020.10.021zbMath1469.11451arXiv2001.03265OpenAlexW3116061634MaRDI QIDQ2220461
Alexandra Florea, Jonathan P. Keating, Hung Manh Bui
Publication date: 25 January 2021
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.03265
Other Dirichlet series and zeta functions (11M41) Relations with random matrices (11M50) Zeta functions and (L)-functions of function fields (11R59)
Related Items (3)
On the Northcott property of zeta functions over function fields ⋮ The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields ⋮ One-level density of quadratic twists of $L$-functions
Cites Work
- Unnamed Item
- Unnamed Item
- Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory
- Low-lying zeros of \(L\)-functions with orthogonal symmetry
- Moments of zeta and correlations of divisor-sums. III.
- Autocorrelation of ratios of \(L\)-functions
- Moments of zeta and correlations of divisor-sums. IV
- In support of \(n\)-correlation
- Moments of Zeta and Correlations of Divisor-Sums: II
- A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros
- Mean value theorems for L-functions over prime polynomials for the rational function field
- n-Level Density of the Low-lying Zeros of Quadratic Dirichlet L-Functions
- Moments of zeta functions associated to hyperelliptic curves over finite fields
- Moments of zeta and correlations of divisor-sums: I
- Traces of high powers of the Frobenius class in the hyperelliptic ensemble
- Zeroes of zeta functions and symmetry
- The Riemann Zeros and Eigenvalue Asymptotics
- Random matrix theory and the Riemann zeros II:n-point correlations
- Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble
- Averages of ratios of the Riemann zeta-function and correlations of divisor sums
- Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble
- Orthogonal and symplectic 𝑛-level densities
- On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
- 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
- Random matrix theory and the Riemann zeros. I. Three- and four-point correlations
- Two-point correlation function for DirichletL-functions
- Applications of theL-functions ratios conjectures
- Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation
- Integral moments of L-functions
- Pair correlation and twin primes revisited
- The expression of a polynomial as a sum of three irreducibles
- Moments of zeta and correlations of divisor‐sums: V
- Random matrix theory and \(L\)-functions at \(s=1/2\).
- Random matrix theory and \(\zeta(1/2+it)\).
- Low lying zeros of families of \(L\)-functions
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