The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields

DOI10.4064/aa190924-3-8zbMath1486.11141arXiv1908.04078OpenAlexW3110976261MaRDI QIDQ5854722

J. D. MacMillan, Julio C. Andrade

Publication date: 17 March 2021

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

Full work available at URL: https://arxiv.org/abs/1908.04078

zbMATH Keywords

function fields\(L\)-functionsDirichlet \(L\)-functionshyperelliptic ensemblemoments of Dirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Curves over finite and local fields (11G20) Zeta and (L)-functions in characteristic (p) (11M38) Zeta functions and (L)-functions of function fields (11R59)

Related Items (1)

Moments of quadratic Dirichlet \(L\)-functions over function fields

Cites Work

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• Mean values of derivatives of \(L\)-functions in function fields. I.
• 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
• Mean value of the class number in function fields revisited
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble
• 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 values of derivatives of quadratic Dirichlet \(L\)-functions in 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
• A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• 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
• Integral moments of L-functions
• A note on the mean value of L(1, χ) in the hyperelliptic ensemble
• Random matrix theory and \(L\)-functions at \(s=1/2\).

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