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Theorems implying the non-vanishing of \(\sum \chi(m)m^{-1}\) for real residue-characters. (English) Zbl 0228.10021


MSC:

11M20 Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\)
11L40 Estimates on character sums
11N13 Primes in congruence classes
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