Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Root optimization of polynomials in the number field sieve
HTML articles powered by AMS MathViewer

by Shi Bai, Richard P. Brent and Emmanuel Thomé PDF
Math. Comp. 84 (2015), 2447-2457 Request permission


The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the first one being polynomial selection. The quality of the chosen polynomials in polynomial selection can be modelled in terms of size and root properties. In this paper, we describe some algorithms for selecting polynomials with very good root properties.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2010): 11Y05, 11Y16
  • Retrieve articles in all journals with MSC (2010): 11Y05, 11Y16
Additional Information
  • Shi Bai
  • Affiliation: Department of Mathematics, University of Auckland, Auckland, New Zealand.
  • Email:
  • Richard P. Brent
  • Affiliation: Mathematical Sciences Institute, Australian National University, Australia.
  • Email:
  • Emmanuel Thomé
  • Affiliation: INRIA Nancy, Villers-lès-Nancy, France.
  • Email:
  • Received by editor(s): June 14, 2013
  • Received by editor(s) in revised form: October 30, 2013, and December 7, 2013
  • Published electronically: February 11, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Math. Comp. 84 (2015), 2447-2457
  • MSC (2010): Primary 11Y05, 11Y16
  • DOI:
  • MathSciNet review: 3356034