Parity of sums of partition numbers and squares in arithmetic progressions

被引：14

作者：

Ballantine, Cristina ^{[1
]}

Merca, Mircea ^{[2
]}

机构：

[1] Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA

[2] Univ Craiova, Dept Math, Craiova 200585, DJ, Romania

来源：

RAMANUJAN JOURNAL | 2017年 / 44卷 / 03期

关键词：

Partitions; Parity; Arithmetic progressions;

D O I：

10.1007/s11139-016-9845-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we explore the parity of sums of partition numbers at certain places in arithmetic progressions. In particular, we investigate pairs (a, b) is an element of N-2 for which Sigma(ak+1) (square) p(n - k) equivalent to 1 (mod 2) if and only if bn + 1 is a square.

引用

页码：617 / 630

页数：14

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