A232930 - OEIS

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.

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, 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, 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

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OFFSET

3,1

LINKS

Table of n, a(n) for n=3..120.

S. R. Finch, Average least nonresidues, December 4, 2013. [Cached copy, with permission of the author]

G. Martin and P. Pollack, The average least character non-residue and further variations on a theme of Erdos, J. London Math. Soc. 87 (2013) 22-42.

R. J. Mathar, Table of Dirichlet L-series and prime zeta modulo functions for small moduli, arXiv:1008.2547 [math.NT], 2010-2015.

EXAMPLE

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

CROSSREFS

Cf. A007431.