Sums of Squares, Triangular Numbers, and Divisor Sums

被引：0

作者：

Andrews, G. E. ^{[1
]}

Jha, Sumit Kumar ^{[2
]}

Lopez-Bonilla, J. ^{[3
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] 310 CS Luxurio Gachibowli, Hyderabad, India

[3] ESIME Zacatenco Inst Politecn Nacl, Edif 4,1 Er Piso,Col Lindavista, Mexico City 07738, Mexico

来源：

JOURNAL OF INTEGER SEQUENCES | 2023年 / 26卷 / 02期

关键词：

sum of divisors function; colour partition; sum of inverses of odd divisors of an integer; triangular number; sum of squares;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general theorem that can be used to derive recurrences for familiar arithmetic functions such as rk(n) and tk(n), the number of representations of n as a sum of k squares and k triangular numbers, respectively.

引用

页数：8

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