The large sieve with power moduli in imaginary quadratic number fields

Peng Gao; Liangyi Zhao

doi:10.1142/S1793042122500877

The large sieve with power moduli in imaginary quadratic number fields

Peng Gao
, Liangyi Zhao^*

^*此作品的通讯作者

数学科学学院

University of New South Wales

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for Z[i], Int. J. Number Theory 14 (10) (2018) 2737-2756; Large sieve with sparse sets of moduli for Z[i], Acta Arith. 196 (1) (2020) 17-34] for the Gaussian field.

源语言	英语
页（从-至）	1713-1733
页数	21
期刊	International Journal of Number Theory
卷	18
期	8
DOI	https://doi.org/10.1142/S1793042122500877
出版状态	已出版 - 1 9月 2022

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abstract = "In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for Z[i], Int. J. Number Theory 14 (10) (2018) 2737-2756; Large sieve with sparse sets of moduli for Z[i], Acta Arith. 196 (1) (2020) 17-34] for the Gaussian field.",

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AU - Gao, Peng

AU - Zhao, Liangyi

PY - 2022/9/1

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N2 - In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for Z[i], Int. J. Number Theory 14 (10) (2018) 2737-2756; Large sieve with sparse sets of moduli for Z[i], Acta Arith. 196 (1) (2020) 17-34] for the Gaussian field.

AB - In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for Z[i], Int. J. Number Theory 14 (10) (2018) 2737-2756; Large sieve with sparse sets of moduli for Z[i], Acta Arith. 196 (1) (2020) 17-34] for the Gaussian field.

KW - Large sieve

KW - number fields

KW - power moduli

KW - prime moduli

UR - https://www.scopus.com/pages/publications/85129827964

U2 - 10.1142/S1793042122500877

DO - 10.1142/S1793042122500877

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VL - 18

SP - 1713

EP - 1733

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 8

ER -

The large sieve with power moduli in imaginary quadratic number fields

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