# Marko Riedel's homepage

This page contains links to papers and to software that I have
written.
### Jigsaw.app

This is my GNUstep Jigsaw puzzle
program which I wrote several years ago:
Jigsaw.app
or here:

¡Animo! The functionality of the UI is remarkable.

### Recommended posts from Math Stackexchange

This is the best-of list. The page has my papers
on the Egorychev method, the functional equation of the Riemann Zeta
Function, and on Coupon Collector type problems with EGFs and Stirling
numbers.

### OEIS Wiki

My page at the OEIS
Wiki contains links to many sequences that I have contributed.
### Demo of HTML 5 Canvas Object (Mandelbrot set)

This Mandelbrot explorer draws the Mandelbrot
set using the HTML 5 Canvas Object and lets the user click 'n zoom to
explore subregions. There is a running clock and a reset button to
return to the original state. The source code is part of the HTML
file. Save or view to inspect the code.
### NWS: Network statistics

A Perl module and a set of example scripts to collect SAMBA user and
machine statistics on a VPN, more info is
here.
### Maximum Disk Usage Finder

This C program will tell you what is consuming space on your file system.
Get it here.
### My Master's Thesis

Applications of the Mellin-Perron Summation formula in number theory.
Selected pages.
PDF file. (1.4M)
msc-thesis-riedel-extr.pdf

New! As of March 2009, an addendum to my thesis (outline of an additional chapter). Treats the sum up to some n of the largest odd divisor of k (between 1 and n). Based on a problem from es.ciencia..matematicas, which is
here and
here.
Download it here:
addendum1.pdf
.

New! As of April 2009, an addendum to my thesis (outline of an additional chapter). Provides an integral formula for the coefficients of a Dirichlet series through Mellin inversion and computes the asymptotics of the sum-of-divisors function.
Download it here:
addendum2.pdf
.

New! As of May 2009, an addendum to my thesis (outline of an additional chapter). Computes the asymptotic expansions of sum_{k=1}^{n-1} sqrt(k(n-k)) and sum_{k=1}^{n-1} 1/sqrt(k(n-k)) through Mellin inversion and shows how to compute the Mellin transforms involved.
Download it here:
addendum3.pdf
.

### Counting nonisomorphic graphs with Polya's theorem

New! As of March 2009, I'm learning Common Lisp. My first exercise was to implement Polya's theorem for the enumeration of nonisomorphic graphs, described in some detail in my GNUstep cookbook. Download the LISP source and a PDF of the results here:
polya-graphenum-lisp.tgz
.
### Combinatorics and number theory

Click here for articles and papers on combinatorics and number theory.

### GiNaC and MAXIMA

I've used
GiNaC
to compute various generating functions and
MAXIMA
to solve differential equations.
(My combinatorics page is here.)

Contact me at
markoriedelde@yahoo.de.