On the number of integral ideals in Galois extensions

DOI10.1007/BF01323653zbMath0498.12009MaRDI QIDQ1171086

Anton Good, K. Chandrasekharan

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178111

zbMATH Keywords

number of integral idealsfinite extensionDedekind zeta-function

Mathematics Subject Classification ID

Galois theory (11R32) Asymptotic results on counting functions for algebraic and topological structures (11N45) Zeta functions and (L)-functions of number fields (11R42)

Related Items (17)

On quadratic congruences ⋮ Estimates for character sums in number fields ⋮ On the number of integral ideals in two different quadratic number fields ⋮ On moments of non-normal number fields ⋮ On the distribution of integral and prime divisors having equal norms ⋮ Ideal counting function in cubic fields ⋮ On the distribution of integral ideals and Hecke Grössencharacters ⋮ Distribution of lattice points on surfaces of second order ⋮ Higher moment of coefficients of Dedekind zeta function ⋮ Mean values connected with the Dedekind zeta-function of a non-normal cubic field ⋮ Note on the number of integral ideals in Galois extensions ⋮ Unnamed Item ⋮ On mean values of some arithmetic functions in number fields ⋮ On mean values of some arithmetic functions involving different number fields ⋮ Mean value estimates related to the Dedekind zeta-function ⋮ Mean values and moments of arithmetic functions over number fields ⋮ Weighted Erdős-Kac type theorem over quadratic field in short intervals

Cites Work

• The approximate functional equation for a class of zeta-functions
• On extension to the left halfplane of the scalar product of Hecke 𝐿-series with magnitude characters
• Unnamed Item
• Unnamed Item

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