On the Synthesis of the Distribution amongst the Integers of the Prime Number Counting Function, pi(k), viewed as a Geometric Object - Tapa blanda

On the Synthesis of the Distribution amongst the Integers of the Prime Number Counting Function, pi(k), viewed as a Geometric Object

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Academic Paper from the year 2023 in the subject Mathematics - Analysis, grade: 2.00, , language: English, abstract: A method is devised in which the prime number counting function, pi(k) is viewed as having the properties of a staircase. The terminology appropriate to a staircase is used to describe the parts of the distribution amongst the integers. Strings of limited extent of consecutive numbers which may contain prime numbers are generated from an iterative equation which contains Gauss' prime number counting function. In honour of Gauss we call these strings of numbers, Gauss strings. , and they are used in the construction of the staircase. Further, we show that the prime number counting function may be represented in number space by an infinite set of connected trapezia, the individual areas of which are numerically equal to the gap between the primes that are situated on two of the borders of any given trapezium.Books on Demand GmbH, Überseering 33, 22297 Hamburg 20 pp. Englisch. Nº de ref. del artículo: 9783346835666

Contactar al vendedor