Geodesic
Symbol of type and the Wilson theorem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 47-53

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We introduce the notion of an element type for the field of residues modulo a prime number and study its role in factorial computation. We obtain an expression for its quantitative characteristic (the symbol of type) in terms of continued fractions and establish its connection with the Legendre symbol.
Keywords: number theory, finite fields, continued fractions. 
@article{IVM_2012_9_a4,
     author = {S. A. Tyurin},
     title = {Symbol of type and the {Wilson} theorem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {47--53},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_9_a4/}
}
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S. A. Tyurin. Symbol of type and the Wilson theorem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 47-53. http://geodesic.mathdoc.fr/item/IVM_2012_9_a4/