D. Bressoud

Publications168
h-index27
Citations2,480
Highly Influential Citations246
Claim Author Page
Author pages are created from data sourced from our academic publisher partnerships and public sources.

Recommended Authors

  • G. Andrews
  • 514 Publications • 16,279 Citations
  • D. Tall
  • 237 Publications • 8,856 Citations
  • D. Zeilberger
  • 348 Publications • 5,935 Citations
  • C. Rasmussen
  • 103 Publications • 2,104 Citations
  • 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
  • PDF
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
  • 19
A Generalization of the Rogers-Ramanujan Identities for all Moduli
  • D. Bressoud
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. A
  • 1 July 1979
TLDR
We extend the Rogers-Ramanujan identities to all even moduli, and provide a theorem which holds for all moduli. Expand
  • 68
  • 13
Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
  • 79
  • 13
A proof of Andrews' q-Dyson conjecture
TLDR
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
  • 60
  • 11
  • PDF
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 in… Expand
  • 41
  • 11
Factorization and Primality Testing
TLDR
This is a discussion of number theory, covering factorization and primality testing. Expand
  • 125
  • 9
Proofs and Confirmations: The Conjecture
  • 51
  • 9
AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION
  • 55
  • 9
Undergraduate Programs and Courses in the Mathematical Sciences: Cupm Curriculum Guide 2004
TLDR
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
  • 88
  • 8
  • PDF
...
1
2
3
4
5
...