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A232930 For each complex primitive Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}. Then a(n) is the sum of f(chi) over all such chi. 3

%I #19 Aug 25 2021 13:24:00

%S 2,3,6,0,11,8,8,0,18,5,22,0,11,12,31,0,34,17,10,0,45,20,32,0,24,17,54,

%T 0,63,24,21,0,30,20,70,0,27,22,79,0,84,27,24,0,93,20,72,0,36,33,102,0,

%U 55,38,37,0,114,27,118,0,52,48,69,0,130,47,42,0,143,40,151,0,32,55,90,0,155,52,72,0,162,33,96,0,57,56,181,0,114,63,58,0,107,40,193,0,72,48,198,0,203,78,39,0,210,60,216,0,79,60,225,0,126,85,100,0,159,46

%N For each complex primitive Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}. Then a(n) is the sum of f(chi) over all such chi.

%H S. R. Finch, <a href="/A232927/a232927.pdf">Average least nonresidues</a>, December 4, 2013. [Cached copy, with permission of the author]

%H G. Martin and P. Pollack, <a href="http://dx.doi.org/10.1112/jlms/jds036">The average least character non-residue and further variations on a theme of Erdos</a>, J. London Math. Soc. 87 (2013) 22-42.

%H R. J. Mathar, <a href="http://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and prime zeta modulo functions for small moduli</a>, arXiv:1008.2547 [math.NT], 2010-2015.

%e a(6)=0 since there are no primitive Dirichlet characters mod 6.

%Y Cf. A007431.

%K nonn

%O 3,1

%A _Steven Finch_, Dec 02 2013

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