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On sums and products of integers |
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| Authors: | Yong-Gao Chen |
| Affiliation: | Department of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China |
| Abstract: | Erdös and Szemerédi proved that if  is a set of  positive integers, then there must be at least  integers that can be written as the sum or product of two elements of  , where  is a constant and  . Nathanson proved that the result holds for  . In this paper it is proved that the result holds for  and  . |
| Keywords: | Additive number theory sumsets sums and products of integers |
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