Lattice walk area combinatorics, some remarkable trigonometric sums and Apéry-like numbers

Explicit algebraic area enumeration formulae are derived for various lattice walks generalizing the canonical square lattice walks, and in particular for the triangular lattice chiral walks recently introduced by the authors. A key element in the enumeration is the derivation of some identities invo...

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Bibliographic Details
Main Authors: Stéphane Ouvry, Alexios P. Polychronakos
Format: Article
Language:English
Published: Elsevier 2020-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320302601

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