Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Corrigendum to New bounds for $ \psi(x)$


Authors: Laura Faber and Habiba Kadiri
Journal: Math. Comp. 87 (2018), 1451-1455
MSC (2010): Primary 11M06, 11M26
DOI: https://doi.org/10.1090/mcom/3340
Published electronically: January 23, 2018
Original Article: Math. Comp. 84 (2015), 1339-1357.
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this note we correct a mistake in New bounds for $ \psi (x)$, Math. Comp. (84) 296 (2015), 1339-1357.


References [Enhancements On Off] (What's this?)

  • [1] Pierre Dusart, Estimates of $ \psi,\theta$ for large values of $ x$ without the Riemann hypothesis, Math. Comp. 85 (2016), no. 298, 875-888. MR 3434886
  • [2] Laura Faber and Habiba Kadiri, New bounds for $ \psi(x)$, Math. Comp. 84 (2015), no. 293, 1339-1357. MR 3315511
  • [3] X. GOURDON, The $ 10^{13}$ First Zeros of the Riemann Zeta Function, and Zeros Computation at Very Large Height, http://numbers.computation.free.fr/Constants/Miscellaneous/ zetazeros1e13-1e24.pdf
  • [4] Habiba Kadiri, Une région explicite sans zéros pour la fonction $ \zeta$ de Riemann, Acta Arith. 117 (2005), no. 4, 303-339 (French). MR 2140161
  • [5] David J. Platt, Isolating some non-trivial zeros of zeta, Math. Comp. 86 (2017), no. 307, 2449-2467. MR 3647966
  • [6] Barkley Rosser, Explicit bounds for some functions of prime numbers, Amer. J. Math. 63 (1941), 211-232. MR 0003018

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 11M06, 11M26

Retrieve articles in all journals with MSC (2010): 11M06, 11M26


Additional Information

Laura Faber
Affiliation: Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4 Canada
Email: laura.faber5@gmail.com

Habiba Kadiri
Affiliation: Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4 Canada
Email: habiba.kadiri@uleth.ca

DOI: https://doi.org/10.1090/mcom/3340
Keywords: Prime number theorem, $\psi(x)$, explicit formula, zeros of Riemann zeta function
Received by editor(s): July 8, 2017
Received by editor(s) in revised form: November 9, 2017
Published electronically: January 23, 2018
Article copyright: © Copyright 2018 American Mathematical Society

American Mathematical Society