COMPUTER EXPERIMENTS WITH RIEMANN ZETA FUNCTION
Rubrics: MATEMATICHESKIE NAUKI
Authors:
1.
Novomoskovsk branch of the University of the Russian Academy of Education
(Kafedra ekonomiki i upravleniya, docent)
Tula, Russian Federation
Tula, Russian Federation
Type:
Article
Pages:
from 47
to 52
Status:
Published
Received:
21.04.2017
Accepted:
04.05.2017
Published:
26.04.2017
Subject area:
UDK 50 Общие вопросы математических и естественных наук
Language:
Russian, English
Keywords:
theory of numbers, complex number, zeta function, critical half-strip.
Abstract (English):
This article in the Maple environment illustrates the basic ideas of the proof of the Riemann hypothesis. For understanding it is enough to know what a complex number is and to have the most elementary notion about the Riemann zeta function. You do not even need to know what the integral and the summation are sign, perceiving them in the text as beautiful hieroglyphs. You can, probably, immediately go to Part 2. Computer experiments, referring to Part 1. Introduction for explanations. Those who wish to get acquainted with the mathematical proof can find it on the site riemann.ucoz.net, there is also video lecture there.
This article in the Maple environment illustrates the basic ideas of the proof of the Riemann hypothesis. For understanding it is enough to know what a complex number is and to have the most elementary notion about the Riemann zeta function. You do not even need to know what the integral and the summation are sign, perceiving them in the text as beautiful hieroglyphs. You can, probably, immediately go to Part 2. Computer experiments, referring to Part 1. Introduction for explanations. Those who wish to get acquainted with the mathematical proof can find it on the site riemann.ucoz.net, there is also video lecture there.
Keywords:
theory of numbers, complex number, zeta function, critical half-strip.
theory of numbers, complex number, zeta function, critical half-strip.
1. A.I.Galochkin, Yu.V.Nesterenko, A.B.Shidlovskiy Vvedenie v teoriyu chisel. M.: Izd-vo Moskovskogo universiteta, 1984.
