Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic |
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| Authors: | D A Oganesyan |
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| Institution: | 1.Moscow State University,Faculty of Mechanics and Mathematics, Leninskie Gory,Moscow,Russia |
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| Abstract: | The paper is focused on the study of Shabat polynomials over fields of different characteristics and their deformation into polynomials with three critical values. Using this deformation, we obtain prime numbers of bad reduction for Shabat polynomials corresponding to trees of diameter 4. |
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