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...
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 |
Similar Items
-
The distribution of prime numbers /
by: Ingham, A. E. (Alan E.)
Published: (1990) -
Some Properties of Euler’s Function and of the Function <i>τ</i> and Their Generalizations in Algebraic Number Fields
by: Nicuşor Minculete, et al.
Published: (2021-07-01) -
Some Remarks on the Divisibility of the Class Numbers of Imaginary Quadratic Fields
by: Kwang-Seob Kim
Published: (2022-07-01) -
Unification of Chowla’s Problem and Maillet–Demyanenko Determinants
by: Nianliang Wang, et al.
Published: (2023-01-01) -
18.785 Number Theory I, Fall 2015
by: Sutherland, Andrew
Published: (2017)