Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 47-51

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{VMUMM_2016_6_a7,
     author = {D. A. Oganesyan},
     title = {Zolotarev polynomials and reduction of {Shabat} polynomials into a positive characteristic},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {47--51},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a7/}
}
TY  - JOUR
AU  - D. A. Oganesyan
TI  - Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2016
SP  - 47
EP  - 51
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a7/
LA  - ru
ID  - VMUMM_2016_6_a7
ER  - 
%0 Journal Article
%A D. A. Oganesyan
%T Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2016
%P 47-51
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a7/
%G ru
%F VMUMM_2016_6_a7
D. A. Oganesyan. Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 47-51. http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a7/