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Mixed sums of triangular numbers and cer...

Matsuda, Kazuhide...

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Mixed sums of triangular numbers and certain binary quadratic forms by Matsuda, Kazuhide ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	In this paper, we prove that for $d=3,\dots,8$, every natural number can be written as $t_x+t_y+3t_z+dt_w$, where $x$, $y$, $z$, and $w$ are nonnegative integers and $t_k=k(k+1)/2$ $(k=0,1,2,\ldots)$ is a triangular number. Furthermore, we study mixed sums of triangular numbers and certain binary quadratic forms.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.5342

Citation

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AMA 11th EditionReferences

Matsuda, Kazuhide. Mixed sums of triangular numbers and certain binary quadratic forms. Australian National University. September 06, 2023. Accessed November 06, 2024. https://online.provdatabase.com/cite/23895

APA 7th EditionReferences

Matsuda, Kazuhide. (2023). Mixed sums of triangular numbers and certain binary quadratic forms. Australian National University. https://online.provdatabase.com/cite/23895

Chicago 17th EditionReferences

Matsuda, Kazuhide. Mixed sums of triangular numbers and certain binary quadratic forms. Australian National University. 2023. https://online.provdatabase.com/cite/23895

HarvardReferences

Matsuda, Kazuhide. (2023). Mixed sums of triangular numbers and certain binary quadratic forms. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23895. (Accessed 06 November 2024).

Harvard AustraliaReferences

Matsuda, Kazuhide, 2023, Mixed sums of triangular numbers and certain binary quadratic forms, Australian National University, viewed 06 November 2024, <https://online.provdatabase.com/cite/23895>

MLA 9th EditionWorks Cited

Matsuda, Kazuhide. Mixed sums of triangular numbers and certain binary quadratic forms. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23895.

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