More zeros of krawtchouk polynomials |
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| Authors: | Laurent Habsieger Dennis Stanton |
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| Affiliation: | 1. Centre de Recherche en Mathématiques de Bordeaux, Université de Bordeaux l, F-33405, Talence Cedex, France
2. School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street, S.E., 55455, Minneapolis, MN, USA
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| 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 inq are found for the degree three polynomials. The techniques used are from elementary number theory. |
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