Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

Mixed sums of triangular numbers and cer...

Matsuda, Kazuhide...

Free

Share this content

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

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Matsuda, Kazuhide. Mixed sums of triangular numbers and certain binary quadratic forms. Australian National University. September 06, 2023. Accessed September 20, 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 20 September 2024).

Harvard AustraliaReferences

Matsuda, Kazuhide, 2023, Mixed sums of triangular numbers and certain binary quadratic forms, Australian National University, viewed 20 September 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.

Share this eBook