On the Polynomial Structure of 𝑟𝑘(𝑛)

Author:

Sivaraman Dr. R.ORCID, ,López-Bonilla Prof. J.ORCID,Vidal-Beltrán S.ORCID, ,

Abstract

If 𝒓𝒌(𝒏) is the number of representations of a positive integer n as the sum of k squares, then 𝒓𝒌(𝒏) is a polynomial in k of degree n; here we exhibit expressions for certain coefficients through this polynomial.

Publisher

Lattice Science Publication (LSP)

Reference21 articles.

1. G. E. Andrews, S. Kumar Jha, J. López-Bonilla, Sums of squares, triangular numbers, and divisor sums, J. of Integer Sequences 26 (2023) Article 23.2.5

2. E. Grosswald, Representations of integers as sums of squares, Springer-Verlag, New York (1985).

3. C. J. Moreno, S. S. Wagstaff Jr, Sums of squares of integers, Chapman & Hall / CRC, Boca Raton, Fl, USA (2006).

4. M. Aka, M. Einsiedler, T. Ward, A journey through the realm of numbers, Springer, Switzerland (2020).

5. J. López-Bonilla, J. Yaljá Montiel-Pérez, H. Sherzad Taher, Recurrence relations and Jacobi theta functions, J. de Ciencia e Ingeniería 15, No. 1 (2023) 14-|16.

Cited by 1 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. Auction in Impartial Games;International Journal of Basic Sciences and Applied Computing;2024-03-30

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3