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https://idr.nitk.ac.in/jspui/handle/123456789/10250
Title: | Combined additive and multiplicative properties near zero |
Authors: | De, D. Paul, R.K. |
Issue Date: | 2012 |
Citation: | New York Journal of Mathematics, 2012, Vol.18, , pp.353-360 |
Abstract: | It was proved that whenever ? is partitioned into finitely many cells, one cell must contain arbitrary length geo-arithmetic progressions. It was also proved that arithmetic and geometric progressions can be nicely intertwined in one cell of partition, whenever N is partitioned into finitely many cells. In this article we prove that similar types of results also hold near zero for some suitable dense subsemigroups S of ((0,?),+) for which S?(0,1) is a subsemigroup of ((0,1), middot;). |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/10250 |
Appears in Collections: | 1. Journal Articles |
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