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Some properties of elements of the prime field

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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.

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Authors and Affiliations

  1. Lobachevsky State University of Nizhni Novgorod, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia

    S. A. Tyurin

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  1. S. A. Tyurin
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Correspondence to S. A. Tyurin.

Additional information

Original Russian Text © S.A. Tyurin, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 8, pp. 60–68.

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Tyurin, S.A. Some properties of elements of the prime field. Russ Math. 60, 52–59 (2016). https://doi.org/10.3103/S1066369X16080065

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