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Zeilberger, Doron (1950-)
    

Israeli-American mathematician who has made important contributions to the fields of hypergeometric summation and q-Series. Eric Weisstein's World of Math The so-called Wilf-Zeilberger pair Eric Weisstein's World of Math and Zeilberger's algorithm Eric Weisstein's World of Math are indispensable tools for summing hypergeometric series, Eric Weisstein's World of Math 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, Eric Weisstein's World of Math 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.




References

--. "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.







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