Browsing Faculty of Graduate Studies Online Theses by Subject "integer-valued polynomials"

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  • Polynomials Integer-Valued on Maximal Orders in Division Algebras 

    Sodhi, Asmita (2020-04-14)
    A polynomial f(x) in Q[x] is called integer-valued if f(n) is in Z for all n in Z. Bhargava's p-orderings and p-sequences have been helpful tools in the study of integer-valued polynomials over subsets of Z and arbitrary ...

  • Polynomials that are Integer-Valued on the Fibonacci Numbers 

    Scheibelhut, Kira (2013-08-13)
    An integer-valued polynomial is a polynomial with rational coefficients that takes an integer value when evaluated at an integer. The binomial polynomials form a regular basis for the Z-module of all integer-valued ...