On the twisted quadratic moment for Dirichlet L-functions
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🧮 math.NT
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dirichletformulaasymptoticcharacterexplicitgivegiveninteger
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Given $c,$ a positive integer, we give an explicit formula and an asymptotic formula for \[ \sum\chi(c)|L(1,\,\chi)|^{2}, \] where $\chi$ is the non-trivial Dirichlet character mod $f$ with $f>c.$
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