On a property of superposition of the generating functions ln(1/(1-F(x)))

Details On a property of superposition of the generating functions ln(1/(1-F(x))) On a property of superposition of the generating functions ln(1/(1-F(x)))

2011-12-05

arxiv.org/abs/1112.0946v1

Mathematics

Combinatorics

5 pages

Scientific paper

Obtained a new property of superposition of the generating functions ln(1/(1-F(x))), where F(x) - generating function with integer coefficients, which allows the construction a primality tests. The theorem which is based on compositions of positive numbers and its corollary are proved. Examples are given. Key words: Generating functions, superposition of generating functions, composition of a natural number.

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