Abstract | ||
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Linear recurrence operators in characteristic $p$ are classified by their $p$-curvature. For a recurrence operator $L$, denote by $\chi(L)$ the characteristic polynomial of its $p$-curvature. We can obtain information about the factorization of $L$ by factoring $\chi(L)$. The main theorem of this paper gives an unexpected relation between $\chi(L)$ and the true singularities of $L$. An application is to speed up a fast algorithm for computing $\chi(L)$ by desingularizing $L$ first. Another contribution of this paper is faster desingularization. |
Year | DOI | Venue |
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2022 | 10.1145/3476446.3535478 | International Symposium on Symbolic and Algebraic Computation (ISSAC) |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
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Yi Zhou | 1 | 161 | 26.62 |
Mark van Hoeij | 2 | 0 | 0.34 |