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math.NT2023
Quadratic residues and domino tilings
Yuhi Kamio, Junnosuke Koizumi, Toshihiko Nakazawa
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 be…
math.CT2023★ 2 cited
Quotient toposes of discrete dynamical systems
Ryuya Hora, Yuhi Kamio
This paper gives a classification of classes of discrete dynamical systems (a set equipped with an endofunction) closed under finite limits and small colimits. The conclusion is si…