Abstract
Abstract—Let χ (mod q), q > 1, be a primitive Dirichlet character. We first present a detailed account of Linnik’s deduction of the functional equation of L(s, χ) from the functional equation of ζ(s). Then we show that the opposite deduction can be obtained by a suitable modification of the method, involving finer arithmetic arguments.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Vol. 296, pp. 123–132.
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Kaczorowski, J., Perelli, A. A note on Linnik’s approach to the Dirichlet L-functions. Proc. Steklov Inst. Math. 296, 115–124 (2017). https://doi.org/10.1134/S0081543817010096
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DOI: https://doi.org/10.1134/S0081543817010096