Two Applications of Polynomial Systems

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：esshuc

【摘要】

：

　　We present two applications of polynomial systems in combinatorics.The first application comes from the problem of counting lattice walks restricted to the

【作者】

：

DuDaniel[1]HouQing-Hu[2]WangRong-Hua[3]

【机构】

：

Center for Applied Mathematics,Tianjin Univ.

【出处】

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第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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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 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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Two Applications of Polynomial Systems

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