RECIPROCAL SUMS OVER PARTITIONS AND COMPOSITIONS

被引：5
|
作者：
KNOPFMACHER, A [1 ]
RIDLEY, JN [1 ]
机构：
[1] UNIV WITWATERSRAND,DEPT MATH,JOHANNESBURG 2050,SOUTH AFRICA
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 1993年 / 6卷 / 03期
关键词：
GENERATING FUNCTIONS; INFINITE PRODUCTS; FINITE FIELDS;
D O I：
10.1137/0406031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors obtain precise asymptotic estimates for certain combinatorial sums over products of reciprocals of the summands in the partition or composition of a natural number n. These estimates are applied to determine the mean value of a certain arithmetical function over the polynomial ring F(q)[X], where F(q) is the finite field with q elements.
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页码：388 / 399
页数：12
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