The prime-counting function and its analytic approximations

2007/05/03 by Tadej Kotnik · 2 citations
Chemistry · Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Chemistry #Combinatorics #Crystallography #Function (biology) #Limits and Structures in Graph Theory #Mathematics #Physics

paper · doi:10.1007/s10444-007-9039-2

openalex publication_date 2007/05/03 · crossref created 2007/05/03 · crossref issued 2007/05/04 · crossref published 2007/05/04 · crossref published-online 2007/05/04 · crossref published-print 2008/07/01 · crossref deposited 2019/05/29 · openalex created_date 2025/10/10 · crossref indexed 2026/04/22 · openalex updated_date 2026/07/29

Citations

• On the difference π(x) - li(x)
• Approximate formulas for some functions of prime numbers
• A new bound for the smallest 𝑥 with 𝜋(𝑥)>fc(r)
• Sur la distribution des nombres premiers
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
• On the Difference π( x )-li( x ) (I)
• On the Difference π( x ) − lix (II)
• On the sign of the difference 𝜋(𝑥)-𝑙𝑖(𝑥)

Cited by

• Will a physicist prove the Riemann Hypothesis?
• Skewes's number [wikipedia]