@ARTICLE{ZeilbergerASMProof,
   author = "D.~Zeilberger",
   title = "{Proof of the alternating sign matrix conjecture}",
   journal = "Electron. J. Comb.",
   volume = 3,
   year = 1996,
   pages = "1--84"
 }

@ARTICLE{KuperbergASMProof,
   author = "G.~Kuperberg",
   title = "{Another proof of the alternating sign matrix conjecture}",
   journal = "Int. Math. Res. Notices",
   volume = 3,
   year = 1996,
   pages = "139--150"
 }

@ARTICLE{ZeilbergerRefinedASMProof,
   author = "D.~Zeilberger",
   title = "{Proof of the refined alternating sign matrix conjecture}",
   journal = "New York J. Math.",
   volume = 2,
   year = 1996,
   pages = "59--68"
 }

@BOOK{BressoudPandC,
   author = "D.~Bressoud",
   title = "{Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture}",
   publisher = "Cambridge: Mathematical Association of America/Cambridge University Press",
   year = 1999
 }

@BOOK{AequalsB,
  author = "M.~Petkov{\v s}ek and H.S. Wilf and D. Zeilberger",
  title = "{A=B}",
  publisher = "A. K. Peters",
  year = 1996
}

@ARTICLE{FischerNewRefProof,
   author = "I.~Fischer",
   title = "{A new proof of the refined alternating sign matrix theorem}",
   journal = "J. Comb. Theory Ser. A",
   volume = 114,
   year = 2007,
   pages = "253--264"
 }

@ARTICLE{FischerRefEnumASM,
   author = "I.~Fischer",
   title = "{Refined enumerations of alternating sign matrices: monotone $(d,m)$-trapezoids with prescribed top and bottom row}",
   journal = "J. Alg. Combin. (accepted)",
   year = 2009,
   pages = "$16$ pages"
 }

@ARTICLE{KuperbergSymmClasses,
   author = "G.~Kuperberg",
   title = "{Symmetry classes of alternating-sign matrices under one roof}",
   journal = "Ann. of Math. (2)",
   volume = 156,
   year = 2002,
   pages = "835--866"
 }

@ARTICLE{FischerOpFormulaVSASM,
   author = "I.~Fischer",
   title = "{An operator formula for the number of halved monotone triangles with prescribed bottom row}",
   journal = "J. Comb. Theory Ser. A, Iss 3",
   volume = 116,
   year = 2009,
   pages = "515--538"
}

@ARTICLE{RazStroVSASM,
   author = "A.V.~Razumov and Yu.G.~Stroganov",
   title = "{On refined enumerations of some symmetry classes of ASMs}",
   journal = "Theoret. Math. Phys.",
   volume = 141,
   year = 2004,
   pages = "1609--1630"
 }

@ARTICLE{FischerSimplifiedProof,
   author = "I.~Fischer",
   title = "{The operator formula for monotone triangles - simplified proof and three generalizations}",
   journal = "J. Comb. Theory Ser. A",
   year = 2010,
   volume = 117,
   pages = "1143--1157"
 }

@ARTICLE{FischerRomikMoreRefEnum,
   author = "I.~Fischer and D.~Romik",
   title = "{More refined enumerations of alternating sign matrices}",
   journal = "Adv. Math.",
   volume = 222,
   year = 2009,
   pages = "2004--2035"
}

@ARTICLE{FischerLinRel,
   author = "I.~Fischer",
   title = "{Linear relations of refined enumerations of alternating sign matrices}",
   journal = "arXiv:1008.0527v1",
   year = 2010,
}

@ARTICLE{FischerNumberOfMT,
   author = "I.~Fischer",
   title = "{The number of monotone triangles with prescribed bottom row}",
   journal = "Adv. Appl. Math.",
   volume = 37,
   year = 2006,
   pages = "249--267"
}

@ARTICLE{RobbinsSymmClasses,
   author = "D.~P.~Robbins",
   title = "{Symmetry Classes of Alternating Sign Matrices}",
   journal = "arXiv:math.CO/0008045",
   year = 2000
}

@ARTICLE{RazStroHTSymm,
   author = "A.~V.~Razumov and Yu.~G.~Stroganov",
   title = "{Enumerations of half-turn symmetric alternating-sign matrices of odd order}",
   journal = "Theor. Math. Phys.",
   volume = 148,
   pages = "1174--1198",
   year = 2006
}

@ARTICLE{StroHTSymm,
   author = "Yu.~G.~Stroganov",
   title = "{$1/N$ phenomenon for some symmetry classes of the odd alternating sign matrices}",
   journal = "arXiv:0807.2520",
   year = 2008
}

@UNPUBLISHED{KrattGogMagog,
   author = "C.~Krattenthaler",
   title = "{A Gog-Magog Conjecture}",
   note = "$5$ pages",
   year = 1996
}

@ARTICLE{BehrendWeightedEnum,
   author = "R.E.~Behrend and P.~Di~Francesco and P.~Zinn-Justin",
   title = "{On the weighted enumeration of alternating sign matrices and descending plane partitions}",
   journal = "J. Comb. Theory Ser. A",
   volume = 119,
   pages = "331--363",
   year = 2012
}

@BOOK{ConcreteMath,
        author = "R.L.~Graham and D.E.~Knuth and O.~Patashnik",
        title = "{Concrete Mathematics}",
        publisher = "Addison-Wesley",
        year = "1989"
}

@ARTICLE{FischerRieglerDMT,
   author = "I.~Fischer and L.~Riegler",
   title = "{Combinatorial reciprocity for monotone triangles}",
   year = 2013,
   journal = "J. Comb. Theory Ser. A (accepted)"
}

@BOOK{Bressoud,
    author = "D.~M.~Bressoud",
    title = "{Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture}", 
    year = 1999,
    publisher = "Cambridge University Press"
}

@ARTICLE{FischerSeqLabTrees,
  author="I.~Fischer",
  title="{Sequences of labeled trees related to Gelfand-Tsetlin patterns}",
  year = 2011,
  journal = "arXiv:1104.0568v1"
}

@ARTICLE{JochemkoSanyalGeomProof,
  author="K.~Jochemko and R.~Sanyal",
  title="Arithmetic of marked poset polytopes, monotone triangle reciprocity, and partial colorings",
  year=2012,
  journal="arXiv:1206.4066"
}

@ARTICLE{RieglerGMT,
  author="L.~Riegler",
  title="Generalized monotone triangles: an extended combinatorial reciprocity theorem",
  year=2012,
  journal="\arxiv{1207.4437}"
}

@ARTICLE{MillsRobbinsRumseyASM,
  author = "W.H.~Mills and D.P.~Robbins and H.~Rumsey",
  title = "{Alternating sign matrices and descending plane partitions}",
  year = 1983,
  journal = "J. Comb. Theory Ser. A",
  volume = 34,
  pages = "340--359"
}

@ARTICLE{KnuthTwoNotesOnNotation,
  author = "D.E.~Knuth",
  title = "{Two Notes on Notation}",
  year = 1992
}



@ARTICLE{ProppFaces,
   author = "J.G.~Propp",
   title = "{The many faces of alternating-sign matrices}",
   year = 2001,
   journal = "DM-CCG",
   pages = "43--58"
}

@ARTICLE{AyyerRomikQuad,
  author = "A.~Ayyer and D.~Romik",
  title = "{New enumeration formulas for alternating sign matrices and square ice partition functions}",
  year = 2013,
  volume = "235",
  pages = "161--186",
  journal = "Adv. Math."
}

@ARTICLE{BehrendQuad,
   author = "R.E.~Behrend",
   title = "{Multiply-refined enumeration of alternating sign matrices}",
   year = 2013,
   journal = "Adv. Math."
}

@article {AndrewsMacdonald,
    AUTHOR = {Andrews, G. E.},
     TITLE = {Plane partitions. {III}. {T}he weak {M}acdonald conjecture},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {53},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {193--225},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {05A17 (10A45)},
  MRNUMBER = {549398 (80j:05009)},
MRREVIEWER = {Edward A. Bender},
       DOI = {10.1007/BF01389763},
       URL = {http://dx.doi.org/10.1007/BF01389763},
}

@ARTICLE{KrattHyp,
  author = "C. Krattenthaler",
  title = "{H{YP} and {HYPQ}: {M}athematica packages for the manipulation
              of binomial sums and hypergeometric series, respectively
              {$q$}-binomial sums and basic hypergeometric series}",
  year = 1995,
  journal = "J. Symbolic Comput.",
  volume = 20,
  pages = "737--744"
}




@ARTICLE{FischerTopBottom,
  author = "I. Fischer",
  title = "{Refined enumerations of alternating sign matrices: monotone $(d,m)$-trapezoids with prescribed top and bottom row}",
  year = 2011,
  journal = "J. Algebraic Combin.",
  volume = 33,
  pages = "239--257"
}

@ARTICLE{FischerGelfand,
  author = "I. Fischer",
  title = "{Sequences of labeled trees related to Gelfand-Tsetlin patterns}",
  year = 2012,
  journal = "Adv. Appl. Math.",
  volume = 49,
  pages = "165--195"
}




