Israeli-American mathematician who has made important contributions to the fields of hypergeometric summation and
q-Series.
The so-called Wilf-Zeilberger pair
and
Zeilberger's algorithm
are indispensable tools for summing hypergeometric series,
and these
techniques are used extensively in modern computer algebra software. Zeilberger was also the first to prove the elusive
result in combinatorial theory known as the alternating sign matrix conjecture,
as well as a number of
related propositions. Zeilberger was a co-recipient of the 1998 Steele Prize of the American Mathematical Society for
his research on hypergeometric summation.
--. "1998 Steele Prizes." Not. Amer. Math. Soc. 45, 504-508, 1998.
Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, 1996.
Zeilberger, D. "A Fast Algorithm for Proving Terminating Hypergeometric Series Identities." Discrete Math. 80, 207-211, 1990.
Zeilberger, D. "A Holonomic Systems Approach to Special Function Identities." J. Comput. Appl. Math. 32, 321-368, 1990.
Zeilberger, D. "The Method of Creative Telescoping." J. Symb. Comput. 11, 195-204, 1991.
Zeilberger, D. "Proof of the Alternating Sign Matrix Conjecture." Electronic J. Combinatorics 3, No. 2, R13, 1-84, 1996.
http://www.combinatorics.org/Volume_3/Abstracts/v3i2r13.html.
Zeilberger, D. "Proof of the Refined Alternating Sign Matrix Conjecture." New York J. Math. 2, 59-68, 1996.