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Walks, Difference Equations and Elliptic Curves

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Singer, Michael F.

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Walks, Difference Equations and Elliptic Curves
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23
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In the recent years, the nature of the generating series of the walks in the quarter plane has attracted the attention of many authors. The main questions are: are they algebraic, holonomic (solutions of linear differential equations) or at least hyperalgebraic (solutions of algebraic differential equations)?
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