Concordant sequences and integral-valued entire functions
نویسندگان
چکیده
منابع مشابه
On theorems of Gelfond and Selberg concerning integral-valued entire functions
For each s ∈ N define the constant s with the following properties: if an entire function g(z) of type t (g)< s satisfies g (z) ∈ Z for = 0, 1, . . . , s − 1 and z= 0, 1, 2, . . . , then g is a polynomial; conversely, for any > 0 there exists an entire transcendental function g(z) satisfying the display conditin and t (g)< s + . The result 1 = log 2 is known due to Hardy and Pólya. We provide t...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1999
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-88-3-239-268