Geodesic
The Dirchlet $L$-function does not vanish for $s=1$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 57-59

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A new proof of Dirichlet's theorem that a Dirichlet $L$-series for a prime modulo $q\equiv 3\pmod 4$ with a real character does not vanish is given. 
@article{VMUMM_2015_2_a11,
     author = {V. N. Chubarikov},
     title = {The {Dirchlet} $L$-function does not vanish for $s=1$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--59},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a11/}
}
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V. N. Chubarikov. The Dirchlet $L$-function does not vanish for $s=1$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 57-59. http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a11/