Asymptotics and algebraicity of some generating functions |
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| Affiliation: | 1. Mathematics Department, Pennsylvania State University, University Park, Pennsylvania 16802, USA;2. Department of Pure Mathematics, The Weizmann Institute, Rehovot, Israel |
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| Abstract: | Some generating functions ∑n ⩾ 0f(n) xn, arising in combinatorics and algebra, are shown to be nonalgebraic by calculating the asymptotics of f(n). Some other such generating functions are shown to be algebraic by an application of determinantal varieties and G-invariant ideals. |
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