Quadratic residues and domino tilings

Fuente: arXiv
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Autores principales: Kamio, Yuhi, Koizumi, Junnosuke, Nakazawa, Toshihiko
Formato: Preprint
Publicado: 2023
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author Kamio, Yuhi
Koizumi, Junnosuke
Nakazawa, Toshihiko
author_facet Kamio, Yuhi
Koizumi, Junnosuke
Nakazawa, Toshihiko
contents The formula for the number of domino tilings due to Kasteleyn and Temperley-Fisher is strikingly similar to Eisenstein's formula for the Legendre symbol. We study the connection between these two concepts and prove a formula which expresses the Jacobi symbol in terms of domino tilings.
format Preprint
id arxiv_https___arxiv_org_abs_2311_13597
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quadratic residues and domino tilings
Kamio, Yuhi
Koizumi, Junnosuke
Nakazawa, Toshihiko
Number Theory
Combinatorics
The formula for the number of domino tilings due to Kasteleyn and Temperley-Fisher is strikingly similar to Eisenstein's formula for the Legendre symbol. We study the connection between these two concepts and prove a formula which expresses the Jacobi symbol in terms of domino tilings.
title Quadratic residues and domino tilings
topic Number Theory
Combinatorics
url https://arxiv.org/abs/2311.13597