Functions of Number Theory - 27.10 Periodic Number-Theoretic Functions

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
27.10.E7	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k}} s_{k}(n) = \sum_{m=1}^{k}a_{k}(m)e^{2\cpi\iunit mn/k}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	s[k](n) = sum(a[k](m)* exp(2*Pi*I*m*n/k), m = 1..k)	Subscript[s, k][n] == Sum[Subscript[a, k][m]* Exp[2*Pi*I*m*n/k], {m, 1, k}, GenerateConditions->None]	Failure	Failure	Failed [297 / 300] Result: 2971422279.-5146654356.*I Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 1} Result: -1114283352.+1929995386.*I Test Values: {a[k] = 1/2*3^(1/2)+1/2*I, s[k] = 1/2*3^(1/2)+1/2*I, k = 1, n = 2} ... skip entries to safe data	Failed [297 / 300] Result: Indeterminate Test Values: {Rule[k, 1], Rule[n, 1], Rule[Subscript[a, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[s, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Indeterminate Test Values: {Rule[k, 1], Rule[n, 2], Rule[Subscript[a, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[s, k], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data