Editing Riemann zeta function (section)

===Rapidly convergent series===
[[Peter Borwein]] developed an algorithm that applies [[Chebyshev polynomial]]s to the [[Dirichlet eta function]] to produce a [[Dirichlet eta function#Borwein's method|very rapidly convergent series suitable for high precision numerical calculations]].<ref>{{cite book|first = Peter|last = Borwein|author-link = Peter Borwein|chapter-url = http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P155.pdf|chapter = An Efficient Algorithm for the Riemann Zeta Function|series = Conference Proceedings, Canadian Mathematical Society|year = 2000|title = Constructive, Experimental, and Nonlinear Analysis|volume = 27|pages = 29–34|isbn = 978-0-8218-2167-1|editor-first = Michel A.|editor-last = Théra|publisher = [[American Mathematical Society]], on behalf of the [[Canadian Mathematical Society]]|location = Providence, RI|access-date = 25 November 2017|archive-date = 26 July 2011|archive-url = https://web.archive.org/web/20110726090927/http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P155.pdf|url-status = dead}}</ref>