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- W2023759548 abstract "Let p be an odd prime and c a fixed integer with (c, p) = 1. For each integer a with 1 ≤ a ≤ p − 1, it is clear that there exists one and only one b with 0 ⩽ b ⩽ p − 1 such that ab ≡ c (mod p). Let N(c, p) denote the number of all solutions of the congruence equation ab ≡ c (mod p) for 1 ⩽ a, b ⩽ p−1 in which a and (overline b ) are of opposite parity, where (overline b ) is defined by the congruence equation b(overline b ) ≡ 1 (mod p). The main purpose of this paper is to use the properties of Dedekind sums and the mean value theorem for Dirichlet L-functions to study the hybrid mean value problem involving N(c, p)−½φ(p) and the Dedekind sums S(c, p), and to establish a sharp asymptotic formula for it." @default.
- W2023759548 created "2016-06-24" @default.
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- W2023759548 date "2011-12-01" @default.
- W2023759548 modified "2023-10-09" @default.
- W2023759548 title "On Lehmer’s problem and Dedekind sums" @default.
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- W2023759548 doi "https://doi.org/10.1007/s10587-011-0058-2" @default.
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