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- W3100391967 endingPage "1393" @default.
- W3100391967 startingPage "1365" @default.
- W3100391967 abstract "Gessel walks are lattice paths confined to the quarter plane that start at the origin and consist of unit steps going either West, East, South-West or North-East. In 2001, Ira Gessel conjectured a nice closed-form expression for the number of Gessel walks ending at the origin. In 2008, Kauers, Koutschan and Zeilberger gave a computer-aided proof of this conjecture. The same year, Bostan and Kauers showed, again using computer algebra tools, that the complete generating function of Gessel walks is algebraic. In this article we propose the first human proofs of these results. They are derived from a new expression for the generating function of Gessel walks in terms of Weierstrass zeta functions." @default.
- W3100391967 created "2020-11-23" @default.
- W3100391967 creator A5033626172 @default.
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- W3100391967 date "2016-04-14" @default.
- W3100391967 modified "2023-10-14" @default.
- W3100391967 title "A human proof of Gessel’s lattice path conjecture" @default.
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- W3100391967 doi "https://doi.org/10.1090/tran/6804" @default.
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