Number Theory Working Group: Fall '03 and Winter '04.

Coordinators: Vitaly Bergelson (vitaly AT math.ohio-state.edu), Steven Miller (sjmiller AT math.brown.edu), Warren Sinnott (sinnott AT math.ohio-state.edu) 

• Student Reports:
  • 3x +1 Problem (Stewart Minteer)
  • Constructing Families of Elliptic Curves with Rank (Scott Arms)
  • Programs to find zeros of elliptic curves near the central point (Aaron Lint)

• LaTeX Templates: template.tex   template.dvi   template.ps   template.pdf   YL.eps:
  The template.tex file is the sourcecode. It needs the file YL.eps to be in the same directory (as I've included a picture). If you don't want to use graphics, just comment out the line with YL.eps in the .tex file. There are three main file-types one can view: .dvi, .ps, .pdf. I prefer to view .pdf files. To run, at the UNIX prompt type emacs template.tex & in the directory with the file. The & opens the file in a new window. Control-c-f compiles the file. At the UNIX prompt, type xdvi template.dvi & and you'll see the .dvi file of your document.If you type more and then recompile, if you toggle to the dvi window it will automatically update! The advantage of xdvi over dvi.

• Mathematica Template: MathematicaIntro4.nb:
  Above is a simple Mathematica notebook, with some functions. I have MANY Mathematica notebooks, so if you want to see more complete programs, just let me know. You need to type SHIFT-ENTER to compile a line. At the UNIX prompt on a math department machine, type mathematica to run Mathematica.

For more programs / information, see the Princeton Mathlab and the NYU Mathlab homepages. A book based on this and other, similar courses is available here.

In Summer 2004 Steven Miller ran a Vertically Integrated Summer Program in Computational Number Theory. Additional student reports are available there.