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...
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 |
Similar Items
-
Exclusion statistics and lattice random walks
by: Stéphane Ouvry, et al.
Published: (2019-11-01) -
Some Families of Apéry-Like Fibonacci and Lucas Series
by: Robert Frontczak, et al.
Published: (2021-07-01) -
On some trigonometric power sums
by: Hongwei Chen
Published: (2002-01-01) -
Inequalities for finite trigonometric sums. An interplay: with some series related to harmonic numbers
by: Omran Kouba
Published: (2016-07-01) -
A Numerical Investigation of Apery-like Equations and Related Picard-Fuchs Equations
by: Bakhova, Maiia J.
Published: (2012)