Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble

DOI10.1093/imrn/rnv387zbMath1405.11104arXiv1505.03094OpenAlexW2520051526MaRDI QIDQ4612052

Alexandra Florea

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03094

zbMATH Keywords

error termquadratic Dirichlet \(L\)-functionshyperelliptic ensemble

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Related Items (19)

The mixed second moment of quadratic Dirichlet \(L\)-functions over function fields ⋮ The mean values of cubic \(L\)-functions over function fields ⋮ Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble ⋮ The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields ⋮ Note on the mean values of derivatives of quadratic Dirichlet \(L\)-functions in function fields ⋮ Unnamed Item ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ Moments of quadratic twists of elliptic curve \(L\)-functions over function fields ⋮ Mean values of derivatives of $L$-functions in function fields: IV ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ Average values of \(L\)-functions in even characteristic ⋮ Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields ⋮ Correlation of shifted values of \(L\)-functions in the hyperelliptic ensemble ⋮ The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T\)] ⋮ A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble ⋮ A representation theory approach to integral moments of \(L\)-functions over function fields ⋮ 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 ⋮ Nonvanishing for cubic L-functions

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