The symbol of type and the wilson theorem

S. A. Tyurin
2012 Russian Mathematics (Izvestiya VUZ. Matematika)  
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.
doi:10.3103/s1066369x12090058 fatcat:hy6xin7d2bbw3modcmn5zbsx2a