Abstract
Let K be an algebraic number field of finite degree over the rational filed ℚ. Let a k be the number of integral ideals in K with norm k. In this paper we study the l-th integral power sum of a k , i.e., Σk⩽α a l k (l = 2, 3, ...). We are able to improve the classical result of Chandrasekharan and Good. As an application we consider the number of solutions of polynomial congruences.
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Dedicated to Professor Wang Yuan on the Occasion of his 80th Birthday
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Lü, G., Wang, Y. Note on the number of integral ideals in Galois extensions. Sci. China Math. 53, 2417–2424 (2010). https://doi.org/10.1007/s11425-010-4091-7
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DOI: https://doi.org/10.1007/s11425-010-4091-7