A note on Solymosi’s sum-product estimate for ordered fields
It is proved that Solymosi’s sum-product estimate max{|A + A|, |A · A|} ≫ |A|4/3/(log |A|)1/3 holds for any finite set A in an ordered field F.
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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/166107 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A note on Solymosi’s sum-product estimate for ordered fields / Boqing Xue // Український математичний журнал. — 2014. — Т. 66, № 9. — С. 1257–1261. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | It is proved that Solymosi’s sum-product estimate max{|A + A|, |A · A|} ≫ |A|4/3/(log |A|)1/3 holds for any finite set A in an ordered field F. |
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