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POLYNOMIALS THAT GENERATE A ROW OF PASCAL'S TRIANGLE

  • Kim, Seon-Hong (School of Mathematical Sciences Seoul National University)
  • Published : 2002.07.01

Abstract

Let p be an odd prime, and let f($\varkappa$) be the interpolating polynomial associated with a table of data points (j+1, (equation omitted) ) for 0$\leq$j$\leq$p. In this article, we find congruence identities modulo p of (p-1)!f($\varkappa$), (p-2)!f($\varkappa$), and (p-3)!f($\varkappa$). Moreover we present some conjectures of these types.

Keywords

Pascal's triangle;Lagrange interpolation

References

  1. Pascal's Triangle V. A. Uspenskii