The computational challenge of enumerating high-dimensional rook walks

DOI10.1016/j.aam.2011.03.004zbMath1234.05026arXiv1011.4671OpenAlexW2060715239MaRDI QIDQ720594

Manuel Kauers, Doron Zeilberger

Publication date: 11 October 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4671

zbMATH Keywords

computer algebralattice walksautomated guessing

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Exact enumeration problems, generating functions (05A15) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items

Some open problems related to creative telescoping, The research and progress of the enumeration of lattice paths, Computing periods of rational integrals

Uses Software

• gfun
• Asyrec
• Guess
• MultiZeilberger
• RookWalks

Cites Work

• Unnamed Item
• Extended rate, more GFUN
• Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory
• Automatic Classification of Restricted Lattice Walks
• Asymptotics of Multivariate Sequences II: Multiple Points of the Singular Variety