Conjectures and Experiments Concerning the Moments ofL(1/2, χd)

DOI10.1080/10586458.2012.687238zbMath1318.11104arXiv1110.0253OpenAlexW1969246589WikidataQ123231181 ScholiaQ123231181MaRDI QIDQ5200351

Matthew W. Alderson, Michael O. Rubinstein

Publication date: 5 November 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0253

zbMATH Keywords

momentscritical valuequadratic characterDirichlet \(L\)-functionslower-order termsreal character

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (12)

Lower order terms for the moments of symplectic and orthogonal families of \(L\)-functions ⋮ Conjectures for the integral moments and ratios of \(L\)-functions over function fields ⋮ Moments of zeta functions associated to hyperelliptic curves over finite fields ⋮ First moment of central values of quadratic Hecke L-functions in the Gaussian field ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ The third moment of quadratic Dirichlet \(L\)-functions ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ Orthogonal and symplectic 𝑛-level densities ⋮ On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case ⋮ The fourth moment of quadratic Dirichlet \(L\)-functions ⋮ A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble ⋮ The first moment of quadratic twists of modular $L$-functions

Cites Work

• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• The first moment of quadratic Dirichlet L-functions
• Integral moments of L-functions
• Computational methods and experiments in analytic number theory
• Random matrix theory and \(L\)-functions at \(s=1/2\).
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