Education: BS math MIT '68.
Somos Sequence Near-Addition Formulas and Modular Theta Functions
http://www.cs.arizona.edu/~rcs/somosadd-intro-070305a.pdf
postscript
Bill Gosper has found some near-addition formulas for Somos sequences.
Plus my foray into defining theta functions mod 43.
2004 Experimental Math Talk (slides)
http://www.cs.arizona.edu/~rcs/expmath04-schroeppel-talk.pdf
Modular Dilogarithms,
Counting PolyHypercubes,
Counting PolyPolygons,
The Post Tag Problem,
A Boolean Quickie -- Minimal Circuits,
UltraPrecision & UltracomputableNumbers,
Conway's Game of Life.
2004 Experimental Math Forecast (slides)
http://www.cs.arizona.edu/~rcs/expmath04-schroeppel-panel.pdf
Reckless predictions for the next decade.
Modular Dilogarithms
http://www.cs.arizona.edu/~rcs/dilog-paper-020402
The classical dilogarithm function can be generalized to Mod P.
The Hasty Pudding Cipher
http://www.cs.arizona.edu/~rcs/hpc
A tasty morsel!
Elliptic Curves and Fast Galois Field Arithmetic
http://www.cs.arizona.edu/~rcs/ecrv
Find out about the wonderful world of GF[2^K], where 2=0, plus is minus,
and squaring is a linear operator. And why they are called elliptic curves.
Hilbert Speech
http://www.cs.arizona.edu/~rcs/hilbert-speech
The mathematician David Hilbert, in a 1900 speech, proposed 23 problems.
Many new areas of mathematics have evolved since 1900, but Hilbert's problems
still have some influence.
The equations are best viewed in a fixed-width font.
Hunting Big Game in the Theory of Numbers
http://www.cs.arizona.edu/~rcs/biggame4
Derrick N. Lehmer's classic 1933 article about using an electromechanical sieve
for factoring and primality testing.
FTP interface: The Hasty Pudding Cipher, Elliptic Curves, and Multiperfect Numbers.
ftp://ftp.cs.arizona.edu/xkernel/rcs/index.html
No FTP? You can use FTPMAIL to have files emailed to you. Send the message "help" to ftpmail@cs.arizona.edu.