【摘 要】
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We present two applications of polynomial systems in combinatorics.The first application comes from the problem of counting lattice walks restricted to the non-negative octant.We confirm the conjectur
【机 构】
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Center for Applied Mathematics,Tianjin Univ. Tian
论文部分内容阅读
We present two applications of polynomial systems in combinatorics.The first application comes from the problem of counting lattice walks restricted to the non-negative octant.We confirm the conjecture proposed by Bostan,Bousquet-Mélou,Kauers and Melczer which states that most 3-dimensional walks associate with a group of an infinity order.The second application is using polynomial system to prove Ramanujan type congruences.
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