My Scientific Publications - Meine Wissenschaftlichen Publikationen

1. "New Sociable Numbers",
   Mathematics of Computation, 56, 194(1991). pp. 871-873. reprint available
2. "Drei Beiträge zur diskreten Mathematik: Additionsketten, No-Three-in-Line-Problem, Sociable Numbers",
   Diplomarbeit, Fakultät für Mathematik, Universität Bielefeld 1991.
   Except the two previous published parts about the No-Three-in-Line problem and Sociable Numbers, here are the first 120 pages as DVI-file.
3. "Progress in the No-Three-in-Line-Problem"
   J. Combin. Theory, Ser. A, 60 (1992), pp. 305-311. reprint available
4. "Lange Perioden in Subtraktions-Spielen"
   Dissertation, Fakultät für Mathematik, Universität Bielefeld 1997,
   enlarged edition: ISBN 3-932136-10-1, Verlag Hans-Jacobs 1997. buy the book for 49,- DM. But before, read the english translation of the abstract and the summarium.
5. "Progress in the No-Three-in-Line Problem, II"
   J. Combin. Theory, Ser. A, 81 (1998), pp. 108-113. reprint available
6. "An Efficient Algorithm for Computing shortest Addition Chains",
   common work with: Daniel Bleichensbacher, Murray Hill, New Jersey, USA. submitted to SIAM Journal of Discrete Mathematics
7. "Integers with a Small Number of Minimal Addition Chains",
   Discrete Mathematics 205 (1999), pp. 221-227. reprint available
8. "Additive Periodicity of the Sprague-Grundy function of certain Nim-Games", common work with: Andreas Dress, Bielefeld, and Norbert Pink, Heidelberg. Advances in Applied Mathematics 22 (1999), pp. 249-270. reprint available
9. "Binomial coefficients and Lucas sequences", common work with Florian Luca.
   J. Number Theory 93 (2002), pp. 246-284. reprint available
10. "Dynamic One-Pile Blocking Nim", common work with: Arthur Holshouser and Harold Reiter.
    The electronic Journal of Combinatorics 10 (2003), Note 4