A Multivariate Arithmetic Function of Combinatorial and Topological Significance
نویسندگان
چکیده
منابع مشابه
A Multivariate Arithmetic Function of Combinatorial and Topological Significance
We investigate properties of a multivariate function E(m1,m2, . . . ,mr), called orbicyclic, that arises in enumerative combinatorics in counting non-isomorphic maps on orientable surfaces. E(m1,m2, . . . ,mr) proves to be multiplicative, and a simple formula for its calculation is provided. It is shown that the necessary and sufficient conditions for this function to vanish are equivalent to f...
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ژورنال
عنوان ژورنال: Integers
سال: 2010
ISSN: 1867-0652
DOI: 10.1515/integ.2010.012