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^*

^*Corresponding author for this work

School of Mathematical Sciences

University of New South Wales

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	1713-1733
Number of pages	21
Journal	International Journal of Number Theory
Volume	18
Issue number	8
DOIs	https://doi.org/10.1142/S1793042122500877
State	Published - 1 Sep 2022

Keywords

Large sieve
number fields
power moduli
prime moduli

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title = "The large sieve with power moduli in imaginary quadratic number fields",

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 - Zhao, Liangyi

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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

M3 - 文章

AN - SCOPUS:85129827964

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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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Keywords

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