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Conference Paper: Ax-Schanuel type inequalities for functional transcendence via Nevan-linna theory
Title | Ax-Schanuel type inequalities for functional transcendence via Nevan-linna theory |
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Authors | |
Issue Date | 2019 |
Publisher | Siberian Federal University. |
Citation | The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications, Siberian Federal University, Krasnoyarsk, Russia, 12-16 August 2019 How to Cite? |
Abstract | The Ax-Schanuel Theorem implies that for any Q-linearly independent modulo C entire functions of one complex variable f1,...,fn, the transcendence degree over C of f1,...,fn,e(f1),...,e(fn) is at least n+1 where e(z)=e2πiz. It is natural to ask what happens if one replaces the exponential map e by some other meromorphic functions. In this talk, we will apply Nevanlinna theory to obtain several inequalities of the transcendence degree over C of f1,...,fn,F(f1),...,F(fn) when fi's are entire functions with some growth restrictions and F is a transcendental meromorphic function. The results are joint work with Jiaxing Huang. |
Description | Section III - no. 53 |
Persistent Identifier | http://hdl.handle.net/10722/282294 |
DC Field | Value | Language |
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dc.contributor.author | Ng, TW | - |
dc.date.accessioned | 2020-05-07T03:19:19Z | - |
dc.date.available | 2020-05-07T03:19:19Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications, Siberian Federal University, Krasnoyarsk, Russia, 12-16 August 2019 | - |
dc.identifier.uri | http://hdl.handle.net/10722/282294 | - |
dc.description | Section III - no. 53 | - |
dc.description.abstract | The Ax-Schanuel Theorem implies that for any Q-linearly independent modulo C entire functions of one complex variable f1,...,fn, the transcendence degree over C of f1,...,fn,e(f1),...,e(fn) is at least n+1 where e(z)=e2πiz. It is natural to ask what happens if one replaces the exponential map e by some other meromorphic functions. In this talk, we will apply Nevanlinna theory to obtain several inequalities of the transcendence degree over C of f1,...,fn,F(f1),...,F(fn) when fi's are entire functions with some growth restrictions and F is a transcendental meromorphic function. The results are joint work with Jiaxing Huang. | - |
dc.language | eng | - |
dc.publisher | Siberian Federal University. | - |
dc.relation.ispartof | 27th International Conference on finite and Infinite Dimensional Complex Analysis and Applications | - |
dc.title | Ax-Schanuel type inequalities for functional transcendence via Nevan-linna theory | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
dc.identifier.authority | Ng, TW=rp00768 | - |
dc.identifier.hkuros | 306791 | - |
dc.publisher.place | Russia | - |