Congruences for a Class of Alternating Lacunary Sums of Binomial Coefficients

被引：0

作者：

Dilcher, Karl ^{[1
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

来源：

JOURNAL OF INTEGER SEQUENCES | 2007年 / 10卷 / 10期

关键词：

Binomial sums; binomial coefficients; congruences;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An 1876 theorem of Hermite, later extended by Bachmann, gives congruences modulo primes for lacunary sums over the rows of Pascal's triangle. This paper gives an analogous result for alternating sums over a certain class of rows. The proof makes use of properties of certain linear recurrences.

引用

页数：10