`The Combinatorial Astrology of Rabbi Abraham Ibn Ezra' by D.Zeilberger

(English version exclusive for the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger. A Spanish translation, by Jose L. Fernandez, appeared in "La Gaceta"(of the Spanish Royal Mathematical Society), Vol. 1, no. 3, Sep-Dec. (1998) 382-385.)

In my invited talk at IWOP 98, (Leganes, Madrid, Spain), July 1, 1998, on the interaction of combinatorics and analysis, I mentioned the Jewish Spanish school, centered, in Tudela, Spain, that flourished 900 \pm 100 years ago. They excelled both in analysis (i.e. trigonometry) and combinatorics (enumeration). I then mentioned Rabbi Abraham Ibn Ezra's application of combinatorial enumeration to astrology.

Jose L. Fernandez, editor of La Gaceta, the Spanish analog of the Monthly, asked me to write it up, for publication in his journal. This is the outcome.

(Plain) .tex version

.dvi version (for previewing)

.ps version

.pdf version

Added March 10, 2000: Read a very interesting message from Yuval Roichman
Personal Journal of SBE and DZ

Doron Zeilberger's List of Papers

Doron Zeilberger's Home Page