The eighth moment of Dirichlet \(L\)-functions

DOI10.1016/j.aim.2014.03.020zbMath1295.11087arXiv1303.4482OpenAlexW2087185188MaRDI QIDQ2450106

Vorrapan Chandee, Xiannan Li

Publication date: 16 May 2014

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

Full work available at URL: https://arxiv.org/abs/1303.4482

zbMATH Keywords

asymptotic large sievemoments of Dirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items

\(n\)-level density of the low-lying zeros of primitive Dirichlet \(L\)-functions, The sixth power moment of Dirichlet \(L\)-functions over rational function fields, The fourth moment of Dirichlet \(L\)-functions along the critical line, The second moment of Dirichlet twists of a \(\mathrm{GL}_4\) automorphic \(L\)-function, Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves, Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus, The distribution of values of zeta and \(L\)-functions, SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS, The variance of divisor sums in arithmetic progressions, The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields, The sixth moment of automorphic \(L\)-functions

Cites Work

• Moments of the Riemann zeta function
• The second moment of quadratic twists of modular \(L\)-functions
• High moments of the Riemann zeta-function
• The sixth power moment of Dirichlet \(L\)-functions
• A conjecture for the sixth power moment of the Riemann zeta-function
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Integral moments of L-functions
• Lower bounds for moments of L -functions
• Random matrix theory and \(\zeta(1/2+it)\).
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