Fr. 22.50

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

English · Paperback / Softback

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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.

Product details

Authors William Fidler
Publisher Grin Verlag
 
Languages English
Product format Paperback / Softback
Released 08.03.2023
 
EAN 9783346835666
ISBN 978-3-346-83566-6
No. of pages 20
Dimensions 148 mm x 210 mm x 2 mm
Weight 45 g
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis

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