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This article is cited in 1 scientific paper (total in 1 paper)
A remark on the distribution of the zeros of Riemann's zeta function
and a continuous analogue of Kakeya's theorem
A. V. Egorov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
A certain new symmetric representation of Riemann's xi function is considered.
A theorem on the zeros of trigonometric integrals analogous to Kakeya's theorem
on the zeros of polynomials with monotonically non-decreasing coefficients is used. A modification of Polya's method is suggested, which allows one to obtain
new assertions on the disposition of the zeros of the zeta
function.
Received: 26.02.2002
Citation:
A. V. Egorov, “A remark on the distribution of the zeros of Riemann's zeta function
and a continuous analogue of Kakeya's theorem”, Mat. Sb., 194:10 (2003), 107–116; Sb. Math., 194:10 (2003), 1533–1542
Linking options:
https://www.mathnet.ru/eng/sm775https://doi.org/10.1070/SM2003v194n10ABEH000775 https://www.mathnet.ru/eng/sm/v194/i10/p107
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Abstract page: | 396 | Russian version PDF: | 304 | English version PDF: | 8 | References: | 45 | First page: | 1 |
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