no. 1
The large sieve with square norm moduli in ℤ[i]
Baier, Stephan1
1 School of Physical Sciences Jawarhal Nehru University Delhi Delhi 110067, India
Journal de théorie des nombres de Bordeaux, Tome 30 (2018) no. 1, pp. 93-115

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/jtnb.1018
Classification : 11L03, 11R04
Keywords: Large Sieve, Gaussian integers

Baier, Stephan 1

1 School of Physical Sciences Jawarhal Nehru University Delhi Delhi 110067, India
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     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},
     year = {2018},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {30},
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Baier, Stephan. The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$. Journal de théorie des nombres de Bordeaux, Tome 30 (2018) no. 1, pp. 93-115. doi: 10.5802/jtnb.1018

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

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

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

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

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

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

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