On a property of Riemann zeta function
Автор: Ochirbat Baatar, Tumurbat Sodnomkhorloo
Журнал: Вестник Бурятского государственного университета. Математика, информатика @vestnik-bsu-maths
Рубрика: Функциональный анализ и дифференциальные уравнения
Статья в выпуске: 2, 2022 года.
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The Riemann zeta function and his famous conjecture regarding the property of this function were presented in his 1859 paper, which was concerned about the distribution of prime numbers. In this article, we will prove some properties of Riemann zeta function and based on those results we will formulate Theorem. An exposition is given, partly historical and partly mathematical, of the Riemann zeta function and the associated Riemann hypothesis. Relevance of these investigations to the theory of the distribution of prime numbers is discussed.
Riemann zeta function, chebyshev's conjecture and the chebyshev functions, gamma function
Короткий адрес: https://sciup.org/148325417
IDR: 148325417 | DOI: 10.18101/2304-5728-2022-2-3-10
Список литературы On a property of Riemann zeta function
- Titchmarsh E.C. The Theory of the Riemann Zeta-function. Oxford University Press, 1986. 418 p.
- Kudryavtseva E., Saidak F., Zvengrowski P. Riemann and his zeta function. Morfismos. 2005. Vol. 9, No. 2. Pp. 1-48.
- Iwaniec H. Lectures on the Riemann Zeta Function. American Mathematical Society, University Lecture Series. 2014. Vol. 62. 119 p.
- Kobayashi S. Mathematicians Who Lost Their Faces: Essays in Idleness on Mathematics (in Japanese). Iwanami Publisher, Tokyo, 2013. Pp. 4042.
