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REMARKS ON k-FOLD INTEGER-VALUED POLYNOMIALS

  • Laohakosol, Vichian (Department of Mathematics, Faculty of Science, Kasetsart University, Thailand) ;
  • Sripayap, Angkana (Department of Mathematics, Faculty of Science, Kasetsart University, Thailand)
  • Published : 2002.02.01

Abstract

A polynomial if k-fold integer-valued if itself and its derivatives up to order k are integer-valued. Necessary and sufficient conditions are established far (i) polynomials with rational coefficients to be k-fold integer-valued, and for (ii) a quotient of two k-fold integer-valued polynomials to be k-fold integer-valued.

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