Affiliation:
1. School of Mathematical Sciences, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China
Abstract
Let [Formula: see text] and [Formula: see text] be the set of integers and the set of positive integers, respectively. For [Formula: see text] let [Formula: see text] be the number of representations of [Formula: see text] by [Formula: see text], and let [Formula: see text] be the number of representations of [Formula: see text] by [Formula: see text] [Formula: see text]. In this paper, by using Ramanujan’s theta functions [Formula: see text] and [Formula: see text] we reveal some general relations between [Formula: see text] and [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Some new relations between T(a1,a2,a3,a4,a5;n) and N(a1,a2,a3,a4,a5;n);Notes on Number Theory and Discrete Mathematics;2023-04-25
2. Proofs of some conjectures of Sun on the relations between t(a, b, c; n) and N(a, b, c; n);Indian Journal of Pure and Applied Mathematics;2022-08-31
3. Proofs of some conjectures of Sun on the relations between T(a,b,c,d;n) and N(a,b,c,d;n);Rocky Mountain Journal of Mathematics;2022-06-01
4. Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers;The Ramanujan Journal;2022-05-14
5. On Conjectures of Z.-H. Sun;Results in Mathematics;2022-04-01