POLYNOMIALS THAT GENERATE A ROW OF PASCALS TRIANGLE

Title & Authors
POLYNOMIALS THAT GENERATE A ROW OF PASCALS TRIANGLE
Kim, Seon-Hong;

Abstract
Let p be an odd prime, and let f($\small{\varkappa}$) be the interpolating polynomial associated with a table of data points (j+1, (equation omitted) ) for 0$\small{\leq}$j$\small{\leq}$p. In this article, we find congruence identities modulo p of (p-1)!f($\small{\varkappa}$), (p-2)!f($\small{\varkappa}$), and (p-3)!f($\small{\varkappa}$). Moreover we present some conjectures of these types.
Keywords
Pascal`s triangle;Lagrange interpolation;
Language
English
Cited by
1.
한국산 고지질 미세조류 Botryococcus의 분포 및 생장 특성,신상윤;조범호;이형관;오희목;

환경생물, 2013. vol.31. 4, pp.288-294
References
1.
Pascal's Triangle,