Email this article On the zeros of the Davenport–Heilbronn function
- Authors: Gritsenko S.A.1,2
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Affiliations:
- Faculty of Mechanics and Mathematics
- Bauman Moscow State Technical University
- Issue: Vol 296, No 1 (2017)
- Pages: 65-87
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174201
- DOI: https://doi.org/10.1134/S0081543817010060
- ID: 174201
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Abstract
Let N0(T) be the number of zeros of the Davenport–Heilbronn function in the interval [1/2, 1/2+ iT]. It is proved that N0(T) ≫ T (ln T)1/2+1/16−ε, where ε is an arbitrarily small positive number.
About the authors
S. A. Gritsenko
Faculty of Mechanics and Mathematics; Bauman Moscow State Technical University
Author for correspondence.
Email: s.gritsenko@gmail.com
Russian Federation, Moscow, 119991; Vtoraya Baumanskaya ul. 5, stroenie 1, Moscow, 105005
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