On an Arithmetical Function期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

按检索

On an Arithmetical Function

Authors:

Email author" target="_blank">Hershel M?Farkas Email author

Institution:

(1) The Hebrew University of Jerusalem, Jerusalem, 91904, Israel

Abstract:

In this paper we introduce an arithmetical function delta

(n), the difference between the number of divisors of n congruent to 1 mod 3 and those congruent to –1 mod 3. This function then is related to the classical function sgr

(n) which is the sum of the divisors of n. In particular we prove the identity

$3\bigg(\sum_{n=0}^{\infty}\delta(3n+1)x^n\bigg)^2=\sum_{n=0}^{\infty}\sigma(3n+2)x^n.$

Keywords:

theta functions divisor functions

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏