diff --git a/src/riemann.jl b/src/riemann.jl index a9e812a..8a342ba 100644 --- a/src/riemann.jl +++ b/src/riemann.jl @@ -11,11 +11,11 @@ defined as `A = B[2:N+1, 2:N+1]`, where `B[i,j] = i-1` if `i` divides `j`, and `-1` otherwise. The [Riemann hypothesis](http://en.wikipedia.org/wiki/Riemann_hypothesis) holds -if and only if `det(A) = O( N! N^(-1/2+epsilon))` for every `epsilon > 0`. +if and only if `det(A) = O(N! N^(-1/2+ϵ))` for every `ϵ > 0`. ```jldoctest julia> Riemann(7) -7x7 Riemann{Int64}: +7×7 Riemann{Int64}: 1 -1 1 -1 1 -1 1 -1 2 -1 -1 2 -1 -1 -1 -1 3 -1 -1 -1 3 @@ -25,9 +25,10 @@ julia> Riemann(7) -1 -1 -1 -1 -1 -1 7 ``` -For more details see Friedrich Roesler, Riemann's hypothesis as an eigenvalue problem, -Linear Algebra and its Applications, Vol. 81, (1986) -http://www.sciencedirect.com/science/article/pii/0024379586902557 +For more details see Friedrich Roesler, +"Riemann's hypothesis as an eigenvalue problem," +Linear Algebra and its Applications, Vol. 81, p.153-198, Sep. 1986. +https://doi.org/10.1016/0024-3795(86)90255-7 """ struct Riemann{Int} <: AbstractMatrix{Int} n::Int