Work

Improved of Approximating Function Li(x)

Year: 2018

Type: article

Abstract: Let pi(x) be the prime-counting function that gives the number of primes less than or equal to x, for any positive number x and let the approximating function Li(x) denote the off set integral logarithm of x. This function is a good approximation to the number of prime numbers less than x. We propose a simple modification of Li(x) gauss prediction function for reduces of pi(x)-Li(x).

Source: International Journal of Engineering and Applied Sciences (IJEAS)

Authors: Israfil Okumus, Ercan Çelık

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2949878711

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