Si, Duc Quang Some extensions of the four values theorem of Nevanlinna-Gundersen. (English) Zbl 1279.32017 Kodai Math. J. 36, No. 3, 579-595 (2013). Summary: Nevanlinna showed that two distinct non-constant meromorphic functions on \(\mathbb C\) must be linked by a Möbius transformation if they have the same inverse images counted with multiplicities for four distinct values. Later on, Gundersen generalized the result of Nevanlinna to the case where two meromorphic functions share two values ignoring multiplicity and share other two values with counting multiplicities. In this paper, we will extend the results of Nevanlinna-Gundersen to the case of two holomorphic mappings into \(\mathbb P^{n}(\mathbb C)\) sharing \((n + 1)\) hyperplanes ignoring multiplicity and other \((n + 1)\) hyperplanes with multiplicities counted to level 2 or \((n + 1)\). Cited in 1 ReviewCited in 3 Documents MSC: 32H30 Value distribution theory in higher dimensions 32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:truncated multiplicity; holomorphic mapping; counting function × Cite Format Result Cite Review PDF Full Text: DOI