The average behavior of the coefficients of Dedekind zeta function over square numbers

DOI10.1016/J.JNT.2011.01.018zbMath1261.11073OpenAlexW2093125346MaRDI QIDQ555293

Guangshi Lü, Zhishan Yang

Publication date: 22 July 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.01.018

zbMATH Keywords

divisor problemGalois fieldcoefficients of Dedekind zeta function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

On the number of integral ideals in two different quadratic number fields ⋮ Ideal counting function in cubic fields ⋮ Weighted Erdős-Kac type theorems over Gaussian field in short intervals ⋮ Mean values and moments of arithmetic functions over number fields ⋮ Weighted Erdős-Kac type theorem over quadratic field in short intervals

Cites Work

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• Note on the number of integral ideals in Galois extensions
• A zero-density theorem for the Riemann zeta-function
• The approximate functional equation for a class of zeta-functions
• The growth rate of the Dedekind Zeta-function on the critical line
• THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
• On the Distribution of Integer Ideals in Algebraic Number Fields
• On mean values of some arithmetic functions in number fields
• On mean values of some arithmetic functions in number fields

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