Updating the error term in the prime number theorem

2015/01/07 by Tim Trudgian · 3 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Limits and Structures in Graph Theory

paper · doi:10.1007/s11139-014-9656-6

openalex publication_date 2015/01/07 · crossref created 2015/01/07 · crossref issued 2015/01/08 · crossref published 2015/01/08 · crossref published-online 2015/01/08 · crossref published-print 2016/02/01 · crossref deposited 2019/08/19 · openalex created_date 2025/10/10 · crossref indexed 2026/01/21 · openalex updated_date 2026/07/29

Citations

• Approximate formulas for some functions of prime numbers
• Estimates of Some Functions Over Primes without R.H.
• An Explicit Result for Primes Between Cubes
• Short effective intervals containing primes
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
• Computing π (x) analytically

Cited by

• Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
• The n-th prime exponentially
• Prime number theorem [wikipedia]