期刊论文详细信息
Journal of integer sequences | |
On Some Properties of Two Simultaneous Polygonal Sequences | |
关键词: Mock theta functions; theta functions; Gaussian polynomials; | |
DOI : | |
学科分类:社会科学、人文和艺术(综合) | |
来源: University of Waterloo * Department of Computer Science | |
【 摘 要 】
This paper focuses on the properties of integers that are simultaneously representable as both m-gonal and n-gonal numbers. Employing hyperbolic geometry, we ascertain both lower and upper bounds on these numbers when there is a finite set of these integers. We then consider the fundamental class of solutions to a generalized Pell-Diophantine equation that relates to these integers, and derive a fast algorithm that can be used to generate them.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912010260548ZK.pdf | 224KB | download |