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The zeros of a Dirichlet L function on the critical line

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Abstract

Selberg's result on the zeros of the Riemann ζ function for Re s = 1/2 is generalized to the derivatives of Dirichlet L functions. In the proof Selberg's method and Lavrik's truncated functional equation are used in an essential way.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 19, No. 4, pp. 561–570, April, 1976.

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Zhuravlev, V.G. The zeros of a Dirichlet L function on the critical line. Mathematical Notes of the Academy of Sciences of the USSR 19, 341–346 (1976). https://doi.org/10.1007/BF01156794

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  • DOI: https://doi.org/10.1007/BF01156794

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