- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Polynomials that generate a row of Pascal's triangle Commun. Korean Math. Soc. 2002 Vol. 17, No. 3, 383-387 Printed September 1, 2002 Seon-Hong Kim Seoul National University Abstract : Let $p$ be an odd prime, and let $f(x)$ be the interpolating polynomial associated with a table of data points $(j+1, \binom {p}{j})$ for $0 \leq j \leq p$. In this article, we find congruence identities modulo $p$ of $(p-1)! \, f(x)$, $(p-2)! \, f(x)$, and $(p-3)! \, f(x)$. Moreover we present some conjectures of these types. Keywords : Pascal's triangle, Lagrange interpolation MSC numbers : Primary 11A07; Secondary 41A05 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd