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On pseudo-primality of the \(n\)-th power of prime entire functions - MaRDI portal

On pseudo-primality of the \(n\)-th power of prime entire functions (Q1088810)

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scientific article; zbMATH DE number 3991863
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On pseudo-primality of the \(n\)-th power of prime entire functions
scientific article; zbMATH DE number 3991863

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    On pseudo-primality of the \(n\)-th power of prime entire functions (English)
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    1987
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    The authors prove some interesting results on prime and pseudo prime entire functions: Theorem 1. Let \(g_ 0(z)\) be a pseudo-prime entire function, and n (\(\geq 3)\) be an odd number. Then \(F(z)=g_ 0(z)^ n\) is also pseudo-prime. Theorem 2. The function \(F(z)=\sin ze^{\cos z}\) is prime.
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    prime entire functions
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    pseudo-prime entire function
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