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- W1948162004 abstract "A positive integer n is called a square-free number if it is not divisible by a perfect square except 1. Let p be an odd prime. For n with (n, p) = 1, the smallest positive integer f such that n f ≡ 1 (mod p) is called the exponent of n modulo p. If the exponent of n modulo p is p − 1, then n is called a primitive root mod p.Let A(n) be the characteristic function of the square-free primitive roots modulo p. In this paper we study the distribution $$sumlimits_{n leqslant x} {A(n)A(n + 1)} $$ and give an asymptotic formula by using properties of character sums." @default.
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- W1948162004 date "2015-06-01" @default.
- W1948162004 modified "2023-10-12" @default.
- W1948162004 title "On the distribution of consecutive square-free primitive roots modulo p" @default.
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- W1948162004 doi "https://doi.org/10.1007/s10587-015-0194-1" @default.
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