Universal sums of triangular numbers and squares

被引：0
|
作者：
Yang, Zichen [1 ]
机构：
[1] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2024年 / 259卷
关键词：
Sums of polygonal numbers; Theta series; Modular forms; MIXED SUMS; FORMS;
D O I：
10.1016/j.jnt.2023.12.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study universal sums of triangular numbers and squares. Specifically, we prove that a sum of triangular numbers and squares is universal if and only if it represents 1,2,3,4,5,6,7,8,10,13,14,15,18,19,20,23,27,28,34,41,47, and 48. (c) 2024 Elsevier Inc. All rights reserved.
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页码：1 / 15
页数：15
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