Comparing the number of ideals in quadratic number fields

Denote by $ a_{K}(n) $ the number of integral ideals in $ K $ with norm $ n $, where $ K $ is a algebraic number field of degree $ m $ over the rational field $ \mathcal{Q} $. Let $ p $ be a prime number. In this paper, we prove that, for two distinct quadratic number fields $ K_i = \mathcal{Q}(\sqr...

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Bibliographic Details
Main Authors: Qian Wang, Xue Han
Format: Article
Language:English
Published: AIMS Press 2022-12-01
Series:Mathematical Modelling and Control
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2022025?viewType=HTML