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- W1569588840 abstract "We study the $2$-adic behavior of the number of domino tilings of a $2n times 2n$ square as $n$ varies. It was previously known that this number was of the form $2^nf(n)^2$, where $f(n)$ is an odd, positive integer. We show that the function $f$ is uniformly continuous under the $2$-adic metric, and thus extends to a function on all of $Z$. The extension satisfies the functional equation $f(-1-n) = pm f(n)$, where the sign is positive iff $n equiv 0,3 pmod{4}$." @default.
- W1569588840 created "2016-06-24" @default.
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- W1569588840 date "1999-02-18" @default.
- W1569588840 modified "2023-09-28" @default.
- W1569588840 title "$2$-adic Behavior of Numbers of Domino Tilings" @default.
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- W1569588840 doi "https://doi.org/10.37236/1446" @default.
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