Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 6, Pages 47–51 (Mi vmumm194)  
This article is cited in 1 scientific paper (total in 1 paper)

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Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic

D. A. Oganesyan
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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.
Key words: Shabat polynomials, Zolotarev polynomials, Belyi pairs, field of positive characteristic, reduction to positive characteristic.
Funding agency Grant number
Simons Foundation
Received: 16.03.2016
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 6, Pages 248–252
DOI: https://doi.org/10.3103/S002713221606005X
Bibliographic databases:
Document Type: Article
UDC: 512.624.3; 512.725.2
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:17
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