Abstract
Three theorems are given for the integral zeros of Krawtchouk polynomials. First, five new infinite families of integral zeros for the binary (q = 2) Krawtchouk polynomials are found. Next, a lower bound is given for the next integral zero for the degree four polynomial. Finally, three new infinite families in q are found for the degree three polynomials. The techniques used are from elementary number theory.
Original language | English (US) |
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Pages (from-to) | 163-172 |
Number of pages | 10 |
Journal | Graphs and Combinatorics |
Volume | 9 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1993 |