The sixth power moment of Dirichlet \(L\)-functions

DOI10.1007/s00039-012-0191-6zbMath1270.11082arXiv0710.5176OpenAlexW2029676005MaRDI QIDQ1930897

Kannan Soundararajan, John Brian Conrey, Henryk Iwaniec

Publication date: 14 January 2013

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5176

zbMATH Keywords

Dirichlet L-functionssixth power moment

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Relations with random matrices (11M50)

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, Moments and zero density estimates for Dirichlet L-functions, Moments of moments of primes in arithmetic progressions, Conjectures for the integral moments and ratios of \(L\)-functions over 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, The eighth moment of Dirichlet \(L\)-functions, The sixth moment of the family of \(\Gamma_1(q)\)-automorphic \(L\)-functions, The variance of divisor sums in arithmetic progressions, The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields, The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial, The sixth moment of automorphic \(L\)-functions

Cites Work

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• Moments of the Riemann zeta function
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• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Integral moments of L-functions
• Lower bounds for moments of L -functions
• The Large Sieve Inequality for Algebraic Number Fields. II: Means of Moments of Hecke Zeta-Functions
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Random matrix theory and \(\zeta(1/2+it)\).