Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten Sharper bounds for the Chebyshev function \(\theta (x)\). (English) Zbl 1478.11108 Math. Comput. 90, No. 331, 2281-2315 (2021). Reviewer: Kübra Benli (Vandœuvre-lès-Nancy) MSC: 11N05 11M06 11M26 PDFBibTeX XMLCite \textit{S. Broadbent} et al., Math. Comput. 90, No. 331, 2281--2315 (2021; Zbl 1478.11108) Full Text: DOI arXiv
Dusart, Pierre Explicit estimates of some functions over primes. (English) Zbl 1426.11088 Ramanujan J. 45, No. 1, 227-251 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11A41 11Y35 PDFBibTeX XMLCite \textit{P. Dusart}, Ramanujan J. 45, No. 1, 227--251 (2018; Zbl 1426.11088) Full Text: DOI
Dusart, Pierre Estimates of \(\psi\), \(\theta\) for large values of \(x\) without the Riemann hypothesis. (English) Zbl 1336.11069 Math. Comput. 85, No. 298, 875-888 (2016). Reviewer: Eira J. Scourfield (Egham) MSC: 11N56 11A25 11N05 PDFBibTeX XMLCite \textit{P. Dusart}, Math. Comput. 85, No. 298, 875--888 (2016; Zbl 1336.11069) Full Text: DOI
Saouter, Yannick; Demichel, Patrick A sharp region where \(\pi(x)-\text{li}(x)\) is positive. (English) Zbl 1223.11111 Math. Comput. 79, No. 272, 2395-2405 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11N05 11M26 11Y35 11-04 PDFBibTeX XMLCite \textit{Y. Saouter} and \textit{P. Demichel}, Math. Comput. 79, No. 272, 2395--2405 (2010; Zbl 1223.11111) Full Text: DOI