The large sieve with power moduli for ℤ[i]-Reference-Cited by-同舟云学术

The large sieve with power moduli for ℤ[i]

Published:2018-10-25 Issue:10 Volume:14 Page:2737-2756
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Baier Stephan¹,Bansal Arpit²

Affiliation:

1. Department of Mathematics, Ramakrishna Mission Vivekananda Educational Research Institute, G. T. Road, PO Belur Math, Howrah, West Bengal 711202, India

2. School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

Abstract

We establish a large sieve inequality for power moduli in [Formula: see text], extending earlier work by Zhao and the first-named author on the large sieve for power moduli for the classical case of moduli in [Formula: see text]. Our method starts with a version of the large sieve for [Formula: see text]. We convert the resulting counting problem back into one for [Formula: see text] which we then attack using Weyl differencing and Poisson summation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118501658

Reference10 articles.

1. LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI

2. An improvement for the large sieve for square moduli

3. On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields

4. On the divisibility of Fermat quotients

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