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arXiv · 2311.13597

Quadratic residues and domino tilings

Yuhi Kamio·Junnosuke Koizumi·Toshihiko Nakazawa
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Abstract

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.

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Yuhi Kamio, Junnosuke Koizumi, Toshihiko Nakazawa. 2023-11-22. Quadratic residues and domino tilings. https://arxiv.org/abs/2311.13597

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