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- W3080791740 abstract "Using Mazur's theorem on torsions of elliptic curves, an upper bound 24 for the order of the finite Galois group $mathcal{H}$ associated with weighted walks in the quarter plane $mathbb{Z}^2_+$ is obtained. The explicit criterion for $mathcal{H}$ to have order 4 or 6 is rederived by simple geometric argument. Using division polynomials, a recursive criterion for $mathcal{H}$ having order $4m$ or $4m+2$ is also obtained. As a corollary, explicit criterion for $mathcal{H}$ to have order 8 is given and is much simpler than the existing method." @default.
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- W3080791740 date "2020-08-19" @default.
- W3080791740 modified "2023-09-27" @default.
- W3080791740 title "An upper bound and criteria for the Galois group of weighted walks with rational coefficients in the quarter plane" @default.
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