Paper Info
Title
Estimating the number of Prime numbers less than a given positive integer by a novel quadrature method: A study of Accuracy and Convergence.
Abstract
The role of Numerical Integration in the evaluation of definite improper integrals is being increasingly appreciated as there are no simple analytical results available. In this paper the authors explore four such quadrature formulae and their performance in evaluating Logarithmic integrals, a class of definite improper integrals and one of the important integrals in Number Theory. The performance of the proposed methods are compared with some well known quadrature formulae like Simpson's rule, Trapezoidal rule , Weddle's rule etc.
Year
DOI
Venue
2014
10.1109/ICACCI.2014.6968487
Advances in Computing, Communications and Informatics
Keywords
DocType
Citations 
convergence of numerical methods,integral equations,integration,number theory,Simpson rule,Weddle rule,convergence,definite improper integrals,logarithmic integrals,number theory,numerical integration,positive integer,prime numbers,quadrature formulae,quadrature method,trapezoidal rule,Degree of Accuracy,Logarithmic integral,Quadrature formula
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Mushtaque Ahamed A100.34
Snehanshu Saha24617.96