Geodesic
Application of fields generated by gauss periods to the study of cyclic Diophantine equations. II
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 149-157 Cet article a éte moissonné depuis la source Math-Net.Ru

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This is the continuation of the paper having the same title (Zapiski,67, 201–222, 1977). The results of that paper are generalized to the case when f is the power of an odd prime number. 
@article{ZNSL_1979_82_a10,
     author = {A. V. Tolstikov},
     title = {Application of fields generated by gauss periods to the study of cyclic {Diophantine} {equations.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {149--157},
     year = {1979},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a10/}
}
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A. V. Tolstikov. Application of fields generated by gauss periods to the study of cyclic Diophantine equations. II. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 149-157. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a10/