On the refined 3-enumeration of alternating sign matrices

被引：6
作者：
Colomo, F
Pronko, AG
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
[2] Univ Florence, Dipartimento Fis, I-50019 Sesto Fiorentino, FI, Italy
[3] Ist Nazl Fis Nucl, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy
来源：
ADVANCES IN APPLIED MATHEMATICS | 2005年 / 34卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1016/j.aam.2004.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit expression for the numbers A (n, r; 3) describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, A(n, r; 3)'s are represented as 1-fold sums which can also be written in terms of terminating F-4(3) series of argument 1/4. (c) 2005 Elsevier Inc. All rights reserved.
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页码：798 / 811
页数：14
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