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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 8, Pages 60–68 (Mi ivm9143)  
Some properties of elements of the prime field

S. A. Tyurin

Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
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Abstract: We obtain some properties of primitive roots in the groups of residue class modulo prime number, in particular, Fermat primes and Sophie Germain primes. We also obtain some formulas for computation of products of elements in some subsets of the prime field of positive characteristic.
Keywords: prime field, Fermat primes, Sophie Germain primes.
Received: 13.01.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 8, Pages 52–59
DOI: https://doi.org/10.3103/S1066369X16080065
Bibliographic databases:
Document Type: Article
UDC: 511.172
Language: Russian
Citation: S. A. Tyurin, “Some properties of elements of the prime field”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8, 60–68; Russian Math. (Iz. VUZ), 60:8 (2016), 52–59
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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