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Conference Paper: Fermat functional equations revisited
| Title | Fermat functional equations revisited |
|---|---|
| Authors | |
| Issue Date | 2016 |
| Publisher | Steklov Mathematical Institute of RAS. |
| Citation | The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics, Steklov Mathematical Institute, Moscow, Russia, 10-16 May 2016: Book of Abstracts, p. 4 How to Cite? |
| Abstract | The problem of the existence of transcendental meromorphic or entire solutions for the Fermat functional equation f n +g n +h n =1 fn+gn+hn=1 was first studied by Walter Hayman in 1984. It is known that meromorphic (entire) solutions exist for n≤6 n≤6 (n≤5 n≤5) and no meromorphic (entire) solution exists when n≥9 n≥9 (n≥7 n≥7). In this talk we will revisit this problem from a more geometric view point. This is a joint work with Sai-Kee Yeung.
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| Persistent Identifier | http://hdl.handle.net/10722/226864 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ng, TW | - |
| dc.date.accessioned | 2016-07-07T08:05:46Z | - |
| dc.date.available | 2016-07-07T08:05:46Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier.citation | The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics, Steklov Mathematical Institute, Moscow, Russia, 10-16 May 2016: Book of Abstracts, p. 4 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/226864 | - |
| dc.description.abstract | The problem of the existence of transcendental meromorphic or entire solutions for the Fermat functional equation f n +g n +h n =1 fn+gn+hn=1 was first studied by Walter Hayman in 1984. It is known that meromorphic (entire) solutions exist for n≤6 n≤6 (n≤5 n≤5) and no meromorphic (entire) solution exists when n≥9 n≥9 (n≥7 n≥7). In this talk we will revisit this problem from a more geometric view point. This is a joint work with Sai-Kee Yeung. | - |
| dc.language | eng | - |
| dc.publisher | Steklov Mathematical Institute of RAS. | - |
| dc.relation.ispartof | The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics | - |
| dc.title | Fermat functional equations revisited | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
| dc.identifier.authority | Ng, TW=rp00768 | - |
| dc.identifier.hkuros | 259037 | - |
| dc.identifier.spage | 4 | - |
| dc.identifier.epage | 4 | - |
| dc.publisher.place | Moscow | - |