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1996•Complex Variables Theory and Application An International JournalRequires access

On unique factorizability of the p-th power composite with a prime entire function

Song Guodong

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Abstract

Let f 0,g 0 be prime entire functions and p a prime number.Let.F=z p champfng 0 and G=f 0ˆz p such that G is pseudo-prime. Then any non-trivial factorizations F=f ˆg orG=fˆg imply.either.f=λ ˆz p or g =λˆzp with A linear polynomial λ(when p=2,g0 is also assumed to be non periodic).

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Let f 0,g 0 be prime entire functions and p a prime number.Let.F=z p champfng 0 and G=f 0ˆz p such that G is pseudo-prime. Then any non-trivial factorizations F=f ˆg orG=fˆg imply.either.f=λ ˆz p or g =λˆzp with A linear polynomial λ(when p=2,g0 is also assumed to be non periodic).

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Available abstract

Let f 0,g 0 be prime entire functions and p a prime number.Let.F=z p champfng 0 and G=f 0ˆz p such that G is pseudo-prime. Then any non-trivial factorizations F=f ˆg orG=fˆg imply.either.f=λ ˆz p or g =λˆzp with A linear polynomial λ(when p=2,g0 is also assumed to be non periodic).

Key concepts: Mathematics, Prime (order theory), Prime power, Combinatorics, Polynomial, Prime number, Function (biology), Discrete mathematics

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