Local statistics for zeros of Artin-Schreier 𝐿-functions
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Publication:6135829
DOI10.1090/tran/8850arXiv2107.02131OpenAlexW4310422503MaRDI QIDQ6135829
Publication date: 28 August 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02131
Arithmetic theory of polynomial rings over finite fields (11T55) Relations with random matrices (11M50) Zeta functions and (L)-functions of function fields (11R59)
Cites Work
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- Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory
- Distribution of zeta zeroes of Artin-Schreier covers
- The \(p\)-rank stratification of Artin-Schreier curves
- Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves
- One-level density of families of elliptic curves and the Ratios Conjecture
- Factoring multivariate polynomials over finite fields
- On the distribution of zeroes of Artin-Schreier \(L\)-functions
- One-level density of the family of twists of an elliptic curve over function fields
- Zeros of Dirichlet \(L\)-functions over function fields
- Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
- Statistics for ordinary Artin-Schreier covers and other $p$-rank strata
- Investigations of Zeros near the Central Point of Elliptic CurveL-Functions
- Traces of high powers of the Frobenius class in the hyperelliptic ensemble
- Zeroes of zeta functions and symmetry
- Integral Matrices of Fixed Rank
- On the Eigenvalues of Random Matrices
- Traces, high powers and one level density for families of curves over finite fields
- Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble
- On the Distribution of Spacings Between Zeros of the Zeta Function
- Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic
- Moments, Monodromy, and Perversity. (AM-159)
