Nonvanishing for cubic L-functions

DOI10.1017/fms.2021.62zbMath1495.11099arXiv2006.15661OpenAlexW3205465157MaRDI QIDQ5021943

Alexandra Florea, Chantal David, Matilde N. Lalín

Publication date: 17 January 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15661

zbMATH Keywords

momentsfunction fieldsnon-vanishingDirichlet characterscubic characters

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Cubic and quartic extensions (11R16) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (9)

Vanishing of Dirichlet \(L\)-functions at the central point over function fields ⋮ One-level density of the family of twists of an elliptic curve over function fields ⋮ The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields ⋮ Mollified moments of cubic Dirichlet \(L\)-functions over the Eisenstein field ⋮ One-level density of zeros of Dirichlet \(L\)-functions over function fields ⋮ Low-lying zeros in families of elliptic curve \(L\)-functions over function fields ⋮ Bounds for moments of cubic and quartic Dirichlet \(L\)-functions ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields ⋮ Nonvanishing for cubic L-functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moments of the Riemann zeta function
• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• Moments of zeta and correlations of divisor-sums. III.
• Mean values with cubic characters
• The second moment of quadratic twists of modular \(L\)-functions
• Theta functions on the \(n\)-fold metaplectic cover of \(SL(2)\) --- the function field case
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• The fourth moment of quadratic Dirichlet \(L\)-functions
• Moments of quadratic twists of elliptic curve \(L\)-functions over function fields
• Nonvanishing of hyperelliptic zeta functions over finite fields
• Dirichlet characters and low-lying zeros of \(L\)-functions
• 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
• Moments of zeta and correlations of divisor-sums. IV
• Signs of Fourier coefficients of half-integral weight modular forms
• Moments of Zeta and Correlations of Divisor-Sums: II
• Moments of zeta and correlations of divisor-sums: I
• One Level Density for Cubic Galois Number Fields
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble
• Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble
• On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
• On Hecke L-series associated with cubic characters
• Nonvanishing for cubic L-functions
• Integral moments of L-functions
• ON THE DISTRIBUTION OF THE RATIONAL POINTS ON CYCLIC COVERS IN THE ABSENCE OF ROOTS OF UNITY
• The expression of a polynomial as a sum of three irreducibles
• Moments of zeta and correlations of divisor‐sums: V
• NOTE ON A PAPER OF J. HOFFSTEIN
• Random matrix theory and \(\zeta(1/2+it)\).

This page was built for publication: Nonvanishing for cubic L-functions