The large sieve with square norm moduli in [i]
Journal de théorie des nombres de Bordeaux, Volume 30 (2018) no. 1, pp. 93-115.

We prove a large sieve inequality for square norm moduli in [i].

Nous montrons une inégalité de grand cible pour les normes dans [i].

Received:
Accepted:
Published online:
DOI: 10.5802/jtnb.1018
Classification: 11L03, 11R04
Keywords: Large Sieve, Gaussian integers

Stephan Baier 1

1 School of Physical Sciences Jawarhal Nehru University Delhi Delhi 110067, India
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
@article{JTNB_2018__30_1_93_0,
     author = {Stephan Baier},
     title = {The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {93--115},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {30},
     number = {1},
     year = {2018},
     doi = {10.5802/jtnb.1018},
     zbl = {1408.11079},
     mrnumber = {3809711},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1018/}
}
TY  - JOUR
AU  - Stephan Baier
TI  - The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$
JO  - Journal de théorie des nombres de Bordeaux
PY  - 2018
SP  - 93
EP  - 115
VL  - 30
IS  - 1
PB  - Société Arithmétique de Bordeaux
UR  - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1018/
DO  - 10.5802/jtnb.1018
LA  - en
ID  - JTNB_2018__30_1_93_0
ER  - 
%0 Journal Article
%A Stephan Baier
%T The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$
%J Journal de théorie des nombres de Bordeaux
%D 2018
%P 93-115
%V 30
%N 1
%I Société Arithmétique de Bordeaux
%U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1018/
%R 10.5802/jtnb.1018
%G en
%F JTNB_2018__30_1_93_0
Stephan Baier. The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$. Journal de théorie des nombres de Bordeaux, Volume 30 (2018) no. 1, pp. 93-115. doi : 10.5802/jtnb.1018. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1018/

[1] Stephan Baier On the large sieve with sparse sets of moduli, J. Ramanujan Math. Soc., Volume 21 (2006) no. 3, pp. 279-295 | MR | Zbl

[2] Stephan Baier; Liangyi Zhao An improvement for the large sieve for square moduli, J. Number Theory, Volume 128 (2008) no. 1, pp. 154-174 | DOI | MR | Zbl

[3] Enrico Bombieri; Henryk Iwaniec On the order of ζ(1/2+it), Ann. Sc. Norm. Super. Pisa, Cl. Sci., Volume 13 (1986), pp. 449-472

[4] Martin N. Huxley The large sieve inequality for algebraic number fields, Mathematika, Lond., Volume 15 (1968), pp. 178-187 | DOI | MR | Zbl

[5] Waldemar Schlackow A sieve problem over the Gaussian integers, University of Oxford, UK (2010) (Ph. D. Thesis)

[6] Liangyi Zhao Large sieve inequality for characters to square moduli, Acta Arith, Volume 112 (2004), pp. 297-308 | DOI | MR | Zbl

Cited by Sources: