Suggested Projects for Math 640: EXPERIMENTAL MATHEMATICS, Spring 2007

http://www.math.rutgers.edu/~zeilberg/EM07/projects.html

Last Update: April 29, 2007.

Feel free to propose your own project!

Untaken Projects

  1. Write a package and invesigate the "super-C-finite ansatz", which are solutions of linear recurrences whose coefficients are C-finite functions.
  2. Write a Maple package that empirically finds "all" hypergeometric identities of bounded complexity (ask me for more details).
  3. Write a Maple package to find lower bounds for the minimal number of "monochromatic" entities generalizing the lower bounds in Aaron Robertson, Pablo Parillo and Dan Saracino's article On the asymptotic minimum number of monochromatic 3-term arithmetic progressions and Aaron Robertson, and Doron Zeilberger's great article on Schur Triples. [ask me for details].
  4. Use the holonomic ansatz to investigate solid partitions and 3-dim. Young Tableaux.

Taken Projects


Challenges


Experimental Math, Spring 2007 main page