A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble
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Publication:2308846
DOI10.1016/j.jnt.2019.10.018zbMath1441.11290OpenAlexW2991505834WikidataQ112881925 ScholiaQ112881925MaRDI QIDQ2308846
Publication date: 3 April 2020
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2019.10.018
Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Cyclotomic extensions (11R18)
Related Items (2)
The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields
Cites Work
- Unnamed Item
- Conjectures for the integral moments and ratios of \(L\)-functions over function fields
- The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
- Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
- Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
- The second and third moment of \(L(1/2,\chi)\) in the hyperelliptic ensemble
- The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
- Note on the mean value of \(L(\tfrac 12,\chi )\) in the hyperelliptic ensemble
- Moments of zeta functions associated to hyperelliptic curves over finite fields
- The first moment of quadratic Dirichlet L-functions
- On the Mean Value of L(1/2, χ ) FW Real Characters
- Zeroes of zeta functions and symmetry
- Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble
- Conjectures and Experiments Concerning the Moments ofL(1/2, χd)
- Integral moments of L-functions
- Random matrix theory and \(L\)-functions at \(s=1/2\).
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