Note on the number of integral ideals in Galois extensions

DOI10.1007/S11425-010-4091-7zbMath1273.11160OpenAlexW2131864709MaRDI QIDQ625868

Yonghui Wang, Guangshi Lü

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4091-7

zbMATH Keywords

Dedekind zeta-functionpolynomial congruencepower sum of integral ideals

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45)

Related Items (7)

On the number of integral ideals in two different quadratic number fields ⋮ Ideal counting function in cubic fields ⋮ Higher moment of coefficients of Dedekind zeta function ⋮ Weighted Erdős-Kac type theorems over Gaussian field in short intervals ⋮ The average behavior of the coefficients of Dedekind zeta function over square numbers ⋮ Mean values and moments of arithmetic functions over number fields ⋮ Weighted Erdős-Kac type theorem over quadratic field in short intervals

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• Functoriality and number of solutions of congruences
• On the Sum ∑k=1xd(f(k))
• The number of ideals in a quadratic field. II
• The mean number of solutions of certain congruences

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