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Introducing irrational enumeration: analytic combinatorics for objects of irrational size

Bevan, David et al.
arXiv (All) · Papers
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05a1505a16combinatorics
We extend the scope of analytic combinatorics to classes containing objects that have irrational sizes. The generating function for such a class is a power series that admits irrational exponents (which we call a Ribenboim series). A transformation then yields a generalised Dirichlet series from whi
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