Geodesic
Solution of fifth-degree equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 20-30

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In this paper we establish the relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite–Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series).
Mots-clés : algebraic equation
Keywords: hypergeometric series. 
@article{IVM_2009_6_a2,
     author = {E. N. Mikhalkin},
     title = {Solution of fifth-degree equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {20--30},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a2/}
}
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E. N. Mikhalkin. Solution of fifth-degree equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 20-30. http://geodesic.mathdoc.fr/item/IVM_2009_6_a2/