Proofs of some conjectures of Sun on the relations between T(a,b,c,d;n) and N(a,b,c,d;n)-Reference-Cited by-同舟云学术

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Proofs of some conjectures of Sun on the relations between T(a,b,c,d;n) and N(a,b,c,d;n)

Published:2022-06-01 Issue:3 Volume:52 Page:
ISSN:0035-7596
Container-title:Rocky Mountain Journal of Mathematics
language:
Short-container-title:Rocky Mountain J. Math.

Author:

Cao Liping,Lin Bernard L. S.

Publisher

Rocky Mountain Mathematics Consortium

Subject

General Mathematics

Reference15 articles.

1. [1] C. Adiga, S. Cooper, and J. H. Han, “A general relation between sums of squares and sums of triangular numbers”, Int. J. Number Theory 1:2 (2005), 175–182.

2. [2] S. Alaca and K. S. Williams, “The number of representations of a positive integer by certain octonary quadratic forms”, Funct. Approx. Comment. Math. 43:part 1 (2010), 45–54.

3. [3] P. Barrucand, S. Cooper, and M. Hirschhorn, “Relations between squares and triangles”, Discrete Math. 248:1-3 (2002), 245–247.

4. [4] N. D. Baruah, S. Cooper, and M. Hirschhorn, “Sums of squares and sums of triangular numbers induced by partitions of 8”, Int. J. Number Theory 4:4 (2008), 525–538.

5. [5] N. D. Baruah, M. Kaur, M. Kim, and B.-K. Oh, “Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers”, Indian J. Pure Appl. Math. 51:1 (2020), 11–38.

Cited by 3 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. Proofs of some conjectures of Sun on representations by linear combinations of triangular numbers;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-10-29

2. 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

3. 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

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