# A Khintchine--Groshev Type Theorem in Absolute Value over Complex Numbers

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 47, (2017), **Pages** 57-67

**Mumtaz Hussain**

Department of Mathematics and Statistics

La Trobe University,

P.O. Box 199,

Bendigo Victoria 3552,

Australia

mailto:m.hussain@latrobe.edu.au

mailto:drhussain.mumtaz@gmail.com

**Abstract** In this paper we prove a Khintchine--Groshev type theorem for simultaneously small linear forms, i.e. the linear forms which are close to the origin, over complex number system.

**Keywords** Metric Diophantine approximation; Khintchine--Groshev type theorem, MIMO.

**Classification** (MSC2000) Primary: 11J83; Secondary 11J13, 11K60

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