ALGEBRAIC AND GEOMETRIC PROPERTIES OF LATTICE WALKS WITH STEPS OF EQUAL LENGTH

DOI10.1017/S0004972716000836zbMath1366.52016OpenAlexW2548897640MaRDI QIDQ2986611

Rafal Salapata, Krzysztof Kołodziejczyk

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000836

zbMATH Keywords

sublatticequotient groupsum of squaresprime numberterminal setlaattice \(d\)-walk

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Subgroups of abelian groups (20K27) Primes (11A41) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

• Sur les nombres impairs admettant une seule décomposition en une somme de deux carrés de nombres naturels premiers entre eux
• Parity properties and terminal points for lattice walks with steps of equal length
• Basic analytic combinatorics of directed lattice paths
• Lattice paths not touching a given boundary
• Enumeration of self-avoiding walks on the square lattice
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