a. w. walker

mathematics and miscellany

Main Menu

Skip to content
  • Home
  • Research
  • MT 550
  • Puzzles
  • About
  • Contact

Tag Archives: cyclotomic polynomials

Using Groups to Factor Integers

April 19, 2019by Alexander Walker Leave a comment

Most factorization algorithms in use today fit in one of two camps: sieve-based methods based on congruences of squares, and algorithms based on decompositions of algebraic groups. In this article, we trace the common thread connecting the latter.

Read Article →
algebra, algebraic geometry, algorithms, cryptography, number theory

Loaded Dice and Cyclotomic Polynomials

February 5, 2017by Alexander Walker Leave a comment

Does there exist a pair of loaded six-sided dice such that the probability of rolling any dice sum {2,..12} is equally likely? We’ll show how this and other related questions about dice sums can be analyzed using cyclotomic polynomials.

Read Article →
number theory, probability

Post navigation

Search

Welcome!

You have stumbled upon the personal blog of Alex Walker. I am a number theorist, with current affiliations to Rutgers.

Archives

  • April 2019 (1)
  • November 2018 (1)
  • October 2018 (1)
  • March 2018 (2)
  • January 2018 (1)
  • September 2017 (1)
  • May 2017 (1)
  • April 2017 (1)
  • March 2017 (2)
  • February 2017 (16)

Categories

  • algebra (1)
  • algebraic geometry (5)
  • algorithms (5)
  • analytic number theory (9)
  • calculus (5)
  • complex analysis (2)
  • computation (2)
  • cryptography (1)
  • game theory (1)
  • graph theory (1)
  • group theory (5)
  • math history (4)
  • number theory (16)
  • pedagogy (2)
  • probability (6)
  • ring theory (3)
  • sieve theory (2)
  • topology (2)
WordPress.com.