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Two estimates on the distribution of zeros of the first derivative of DirichletL-functions under the generalized Riemann hypothesis
by
SURIAJAYA, Ade Irma
in
Zero
2017
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Two estimates on the distribution of zeros of the first derivative of DirichletL-functions under the generalized Riemann hypothesis
by
SURIAJAYA, Ade Irma
in
Zero
2017
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Two estimates on the distribution of zeros of the first derivative of DirichletL-functions under the generalized Riemann hypothesis
Journal Article
Two estimates on the distribution of zeros of the first derivative of DirichletL-functions under the generalized Riemann hypothesis
2017
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Overview
The number of zeros and the distribution of the real part of non-real zeros of the derivatives of the Riemann zeta function have been investigated by B. C. Berndt, N. Levinson, H. L. Montgomery, H. Akatsuka, and the author. Berndt, Levinson, and Montgomery investigated the unconditional case, while Akatsuka and the author gave sharper estimates under the truth of the Riemann hypothesis. Recently, F. Ge improved the estimate on the number of zeros shown by Akatsuka. In this paper, we prove similar results related to the first derivative of DirichletL-functions associated with primitive Dirichlet characters under the assumption of the generalized Riemann hypothesis.
Publisher
cedram
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