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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 6, Pages 47–51
(Mi vmumm194)
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This article is cited in 1 scientific paper (total in 1 paper)
Short notes
Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic
D. A. Oganesyan
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.
Key words:
Shabat polynomials, Zolotarev polynomials, Belyi pairs, field of positive characteristic, reduction to positive characteristic.
Received: 16.03.2016
Citation:
D. A. Oganesyan, “Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 6, 47–51; Moscow University Mathematics Bulletin, 71:6 (2016), 248–252
Linking options:
https://www.mathnet.ru/eng/vmumm194 https://www.mathnet.ru/eng/vmumm/y2016/i6/p47
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