Doron Zeilberger

Doron Zeilberger ( Hebrew דורון ציילברגר; * July 2, 1950 in Haifa , Israel ) is an Israeli mathematician who studies combinatorics .

Zeilberger received his doctorate in 1976 at the Weizmann Institute under Harry Dym . In 1977/78 he was at the Institute for Advanced Study in Princeton . He is a professor of mathematics at Rutgers University , New Jersey .

Zeilberger made many important contributions to combinatorics, especially in the field of hypergeometric identities and rows ( Zeilberger algorithm , Wilf-Zeilberger pairs ). ${\ displaystyle q}$

For his proof (1995) of the "Alternating Sign Matrix Conjecture" on the number of matrices with alternating signs , he hired 88 volunteers to review the evidence, which required massive use of computers. Shortly thereafter, Greg Kuperberg gave a brief proof .

With Herbert Wilf he received the Leroy P. Steele Prize in 1998 for his research . In 2004 he received the Euler Medal .

He published the book with Wilf and Marko Petkovsek in 1996 . It describes the research results on algorithms for the simplification of sums with binomial coefficients and for finding and proving hypergeometric identities for a wide readership . The book can be read online; Donald Knuth wrote the foreword . ${\ displaystyle A = B}$

He is a fellow of the American Mathematical Society .

Zeilberger is married to a physicist and has three children.

The name of the co-author of some of his essays (Shalosh B. Ekhad) is fictional (he designates his computer, an ATT 3B1, Shalosh stands for three, Ekhad for one).

literature

1998 Steele Prizes ( PDF file, 342 kB), Notices of the AMS 45, April 1998, pp. 504–508 (English; with picture and short biography)
Jeanine Daems, Ionica Smeets: De favoriet van Persi Diaconis: Doron Zeilberger ( PDF file, 106 kB), Nieuw Archief voor Wiskunde (series 5) 8, June 2007, p. 89 (Dutch; with picture)
Akalu Tefera: What is… a Wilf-Zeilberger Pair? ( PDF file, 65 kB), Notices of the AMS 57, April 2010, pp. 508–509 (English)
Andries Brouwer: Automatic summation using Zeilberger-Wilf theory (PDF; 97 kB) Nieuw Archief Wiskunde, December 2002

Web links

Remarks

↑ The entries (0, +1, −1) in the rows / columns add up to 1 and have alternating signs.
^ The ICA Medals. Institute of Combinatorics and its Applications, accessed June 17, 2018 .
↑ Home Page for the Book "A = B"
↑ Barbara Pieronkiewicz, Mathematicians who never were, Mathematical Intelligencer, Volume 40, No. 2, 2018

personal data
SURNAME	Zeilberger, Doron
ALTERNATIVE NAMES	דורון ציילברגר (Hebrew)
BRIEF DESCRIPTION	Israeli mathematician
DATE OF BIRTH	2nd July 1950
PLACE OF BIRTH	Haifa , Israel

[1] The entries (0, +1, −1) in the rows / columns add up to 1 and have alternating signs.

[2] The ICA Medals. Institute of Combinatorics and its Applications, accessed June 17, 2018 .

[3] Home Page for the Book "A = B"

[4] Barbara Pieronkiewicz, Mathematicians who never were, Mathematical Intelligencer, Volume 40, No. 2, 2018