• Publications
• Influence
Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture
1. The conjecture 2. Fundamental structures 3. Lattice paths and plane partitions 4. Symmetric functions 5. Hypergeometric series 6. Explorations 7. Square ice.
• 443
• 36
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Some identities for terminating q-series
We present the following sequence of polynomial identities: is the Gaussian polynomial denned to be zero for m m > N , one for m = 0 or N and
• 80
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A Generalization of the Rogers-Ramanujan Identities for all Moduli
• D. Bressoud
• Computer Science, Mathematics
• J. Comb. Theory, Ser. A
• 1 July 1979
We extend the Rogers-Ramanujan identities to all even moduli, and provide a theorem which holds for all moduli. Expand
• 68
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A proof of Andrews' q-Dyson conjecture
• Computer Science, Mathematics
• Discret. Math.
• 1 May 2006
We prove that the constant term of the Laurent polynomial @?"1" =<"i"<"j"=<"n(x"i/x"j)"a"""i(qx" j/ x"i)" a"""j, where x"1,...,x"n,q are commuting indeterminates and a" 1,...,a"n are non-negative integers. Expand
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• 11
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Lattice Path and the Rogers-Ramanujan Identities
This is an exposition and elaboration on work of W.H. Burge which demonstrates the connections among the various combinatorial interpretations of the multiple summations which arise inExpand
• 41
• 11
Factorization and Primality Testing
This is a discussion of number theory, covering factorization and primality testing. Expand
• 125
• 9
Undergraduate Programs and Courses in the Mathematical Sciences: Cupm Curriculum Guide 2004
• Computer Science
• 1 February 2004
Algebra: Modular arithmetic, permutations, group theory through isomorphism theorems, ring theory through the notions of prime and maximal ideals; additional topics such as unique factorization domains and classification of groups of small order. Expand
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• 8
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