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- Publisher Website: 10.1007/s00209-021-02848-x
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Article: Ax–Schanuel type theorems on functional transcendence via Nevanlinna theory
Title | Ax–Schanuel type theorems on functional transcendence via Nevanlinna theory |
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Authors | |
Issue Date | 2022 |
Publisher | Springer Nature Switzerland AG.. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm |
Citation | Mathematische Zeitschrift, 2022, v. 300, p. 1639–1656 How to Cite? |
Abstract | In this paper, we apply Nevanlinna theory to prove two Ax–Schanuel type theorems for functional transcendence when the original exponential map is replaced by other meromorphic functions. We give examples to show that these results are optimal. As a byproduct, we also show that analytic dependence implies algebraic dependence for certain classes of entire functions. Finally, some links to transcendental number theory and geometric Ax–Schanuel theorem will be discussed. |
Persistent Identifier | http://hdl.handle.net/10722/322263 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ng, TW | - |
dc.contributor.author | HUANG, J | - |
dc.date.accessioned | 2022-11-14T08:18:23Z | - |
dc.date.available | 2022-11-14T08:18:23Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Mathematische Zeitschrift, 2022, v. 300, p. 1639–1656 | - |
dc.identifier.uri | http://hdl.handle.net/10722/322263 | - |
dc.description.abstract | In this paper, we apply Nevanlinna theory to prove two Ax–Schanuel type theorems for functional transcendence when the original exponential map is replaced by other meromorphic functions. We give examples to show that these results are optimal. As a byproduct, we also show that analytic dependence implies algebraic dependence for certain classes of entire functions. Finally, some links to transcendental number theory and geometric Ax–Schanuel theorem will be discussed. | - |
dc.language | eng | - |
dc.publisher | Springer Nature Switzerland AG.. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm | - |
dc.relation.ispartof | Mathematische Zeitschrift | - |
dc.title | Ax–Schanuel type theorems on functional transcendence via Nevanlinna theory | - |
dc.type | Article | - |
dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
dc.identifier.authority | Ng, TW=rp00768 | - |
dc.identifier.doi | 10.1007/s00209-021-02848-x | - |
dc.identifier.hkuros | 341673 | - |
dc.identifier.volume | 300 | - |
dc.identifier.spage | 1639–1656 | - |
dc.identifier.epage | 1639–1656 | - |
dc.identifier.isi | WOS:000690720100001 | - |
dc.publisher.place | Switzerland | - |