Baier, Stephan The large sieve with square norm moduli in \(\mathbb Z[i]\). (English. French summary) Zbl 1408.11079 J. Théor. Nombres Bordx. 30, No. 1, 93-115 (2018). Summary: We prove a large sieve inequality for square norm moduli in \(\mathbb Z[i]\). Cited in 2 Documents MSC: 11L03 Trigonometric and exponential sums (general theory) 11N35 Sieves 11R04 Algebraic numbers; rings of algebraic integers Keywords:large sieve; Gaussian integers × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Stephan Baier, On the large sieve with sparse sets of moduli, J. Ramanujan Math. Soc.21 (2006), p. 279-295 · Zbl 1152.11041 [2] Stephan Baier & Liangyi Zhao, An improvement for the large sieve for square moduli, J. Number Theory128 (2008), p. 154-174 · Zbl 1225.11121 · doi:10.1016/j.jnt.2007.03.004 [3] Enrico Bombieri & Henryk Iwaniec, On the order of \(\zeta(1 / 2 + i t)\), Ann. Sc. Norm. Super. Pisa, Cl. Sci.13 (1986), p. 449-472 · Zbl 0615.10047 [4] Martin N. Huxley, The large sieve inequality for algebraic number fields, Mathematika, Lond.15 (1968), p. 178-187 · Zbl 0174.08201 · doi:10.1112/S0025579300002540 [5] Waldemar Schlackow, A sieve problem over the Gaussian integers, Ph. D. Thesis, University of Oxford, UK, 2010 [6] Liangyi Zhao, Large sieve inequality for characters to square moduli, Acta Arith112 (2004), p. 297-308 - ISSN : 2118-8572 (online) 1246-7405 (print) - Société Arithmétique de Bordeaux · Zbl 1060.11055 · doi:10.4064/aa112-3-5 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.