Mean values connected with the Dedekind zeta-function of a non-normal cubic field

DOI10.2478/S11533-012-0133-4zbMath1292.11108OpenAlexW2069715638MaRDI QIDQ1935607

Guangshi Lü

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0133-4

zbMATH Keywords

Dedekind zeta functioncusp formnumber field

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

On moments of non-normal number fields ⋮ Ideal counting function in cubic fields ⋮ Higher moment of coefficients of Dedekind zeta function ⋮ Unnamed Item ⋮ Mean value estimates related to the Dedekind zeta-function

Cites Work

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• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• On the distribution of ideals in cubic number fields
• On the number of integral ideals in Galois extensions
• Lectures on a method in the theory of exponential sums
• Cuspidality of symmetric powers with applications.
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• An example of non-normal quintic automorphic induction and modularity of symmetric powers of cusp forms of icosahedral type
• Symmetric cube \(L\)-functions for \(\text{GL}_2\) are entire
• The approximate functional equation for a class of zeta-functions
• The square mean of Dirichlet series associated with cusp forms
• Formes modulaires de poids $1$
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• On the Distribution of Integer Ideals in Algebraic Number Fields
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Functoriality and number of solutions of congruences
• The number of ideals in a quadratic field. II

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