VALUE DISTRIBUTION FOR $ p$-ADIC HYPERSURFACES

Khoái, Hà Huy; An, Vu Hoai

doi:10.11650/twjm/1500407516

Cited by 9 publications

(1 citation statement)

References 5 publications

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“…In recent years the problem of existence or non-existence of solutions to the equation has investigated by many authors (see [1], [2], [6], [8], [10], [20], [21], [22], [23]). For the case of entire functions of one variable in a non-Archimedean field, many interesting results are obtained ( [4], [5], [6], [9], [11], [12], [13], [16], [17]). …”

Section: Introductionmentioning

confidence: 99%

On Functional Equations of the Fermat-Waring Type for Non-Archimedean Vectorial Entire Functions

An¹,

Ninh²

2016

Bulletin of the Korean Mathematical Society

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Abstract. We show a class of homogeneous polynomials of FermatWaring type such that for a polynomial P of this class, if P (f 1 , . . . , f N+1 ) = P (g 1 , . . . , g N+1 ), where f 1 , . . . , f N+1 ; g 1 , . . . , g N+1 are two families of linearly independent entire functions, then f i = cg i , i = 1, 2, . . . , N + 1, where c is a root of unity. As a consequence, we prove that if X is a hypersurface defined by a homogeneous polynomial in this class, then X is a unique range set for linearly non-degenerate non-Archimedean holomorphic curves.

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Section: Introductionmentioning

confidence: 99%

On Functional Equations of the Fermat-Waring Type for Non-Archimedean Vectorial Entire Functions

An¹,

Ninh²

2016

Bulletin of the Korean Mathematical Society

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Value-sharing problem for p-adic meromorphic functions and their difference operators and difference polynomials

Khoái

2012

Ukr Math J

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We discuss the value-sharing problem, versions of the Hayman conjecture, and the uniqueness problem for p-adic meromorphic functions and their difference operators and difference polynomials. Дослiджено питання про спiльнi значення i єдинiсть та аналоги гiпотези Хеймена для p-адичних мероморфних функцiй та їх рiзницевих операторiв i рiзницевих полiномiв.

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Picard Values and Uniqueness for p-adic Meromorphic Functions

Tuan

Quang

2016

Acta Math Vietnam

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VALUE DISTRIBUTION FOR $ p$-ADIC HYPERSURFACES

Cited by 9 publications

References 5 publications

On Functional Equations of the Fermat-Waring Type for Non-Archimedean Vectorial Entire Functions

On Functional Equations of the Fermat-Waring Type for Non-Archimedean Vectorial Entire Functions

Value-sharing problem for p-adic meromorphic functions and their difference operators and difference polynomials

Picard Values and Uniqueness for p-adic Meromorphic Functions

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