메뉴 건너뛰기




Volumn 309, Issue 4, 2009, Pages 878-886

Multiple partitions, lattice paths and a Burge-Bressoud-type correspondence

Author keywords

Lattice paths; Partition

Indexed keywords

GRAPH THEORY;

EID: 60149083713     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2008.01.029     Document Type: Article
Times cited : (3)

References (18)
  • 1
    • 85032068412 scopus 로고
    • Latttice paths and hypergeometric series
    • Agarwal A.K., and Bressoud D. Latttice paths and hypergeometric series. Pacific J. Math. 136 (1989) 209-228
    • (1989) Pacific J. Math. , vol.136 , pp. 209-228
    • Agarwal, A.K.1    Bressoud, D.2
  • 2
  • 4
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    • Andrews G.E., Baxter R.J., and Forrester P.J. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. J. Stat. Phys. 35 (1984) 193-266
    • (1984) J. Stat. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 5
    • 14744285051 scopus 로고
    • On the Burge correspondence between partitions and binary words
    • Andrews G.E., and Bressoud D. On the Burge correspondence between partitions and binary words. Rocky Mountain J. Math. Soc. 24 (1980) 225-233
    • (1980) Rocky Mountain J. Math. Soc. , vol.24 , pp. 225-233
    • Andrews, G.E.1    Bressoud, D.2
  • 6
    • 0035528681 scopus 로고    scopus 로고
    • Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities
    • Berkovich A., and Paule P. Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities. Ramanujan J. 5 (2002) 409-425
    • (2002) Ramanujan J. , vol.5 , pp. 409-425
    • Berkovich, A.1    Paule, P.2
  • 7
    • 0001175284 scopus 로고
    • Lattice paths and Rogers-Ramanujan identities
    • Number Theory, Madras 1987. Alladi K. (Ed)
    • Bressoud D. Lattice paths and Rogers-Ramanujan identities. In: Alladi K. (Ed). Number Theory, Madras 1987. Lecture Notes in Mathematics vol. 1395 (1987) 140-172
    • (1987) Lecture Notes in Mathematics , vol.1395 , pp. 140-172
    • Bressoud, D.1
  • 8
    • 0011444793 scopus 로고
    • A correspondence between partitions related to generalizations of the Ramanujan-Rogers identities
    • Burge W.H. A correspondence between partitions related to generalizations of the Ramanujan-Rogers identities. Discrete Math. 34 (1981) 9-15
    • (1981) Discrete Math. , vol.34 , pp. 9-15
    • Burge, W.H.1
  • 9
    • 0039545879 scopus 로고
    • A three-way correspondence between partitions
    • Burge W.H. A three-way correspondence between partitions. European J. Comb 3 (1982) 195-213
    • (1982) European J. Comb , vol.3 , pp. 195-213
    • Burge, W.H.1
  • 11
    • 14744296869 scopus 로고    scopus 로고
    • Generating function for K-restricted jagged partitions
    • 17 pages
    • Fortin J.-F., Jacob P., and Mathieu P. Generating function for K-restricted jagged partitions. Electron. J. Combin. 12 1 (2005) R12 17 pages
    • (2005) Electron. J. Combin. , vol.12 , Issue.1
    • Fortin, J.-F.1    Jacob, P.2    Mathieu, P.3
  • 12
    • 0030580254 scopus 로고    scopus 로고
    • Combinatorial constructions of modules for infinite-dimensional Lie algebras, I. Principal subspace
    • Georgiev G. Combinatorial constructions of modules for infinite-dimensional Lie algebras, I. Principal subspace. J. Pure Appl. Algebra 112 (1996) 247
    • (1996) J. Pure Appl. Algebra , vol.112 , pp. 247
    • Georgiev, G.1
  • 14
    • 0037140935 scopus 로고    scopus 로고
    • Graded parafermions: Standard and quasi-particle bases
    • Jacob P., and Mathieu P. Graded parafermions: Standard and quasi-particle bases. Nuclear. Phys. B630 (2002) 433-452
    • (2002) Nuclear. Phys. , vol.B630 , pp. 433-452
    • Jacob, P.1    Mathieu, P.2
  • 15
    • 24944573850 scopus 로고    scopus 로고
    • Parafermionic derivation of the Andrews-type multiple sums
    • Jacob P., and Mathieu P. Parafermionic derivation of the Andrews-type multiple sums. J. Phys. A 38 (2005) 8225-8238
    • (2005) J. Phys. A , vol.38 , pp. 8225-8238
    • Jacob, P.1    Mathieu, P.2
  • 16
    • 70350618330 scopus 로고    scopus 로고
    • Jagged partitions and lattice paths
    • in press, math.CO/0605551
    • P. Jacob, P. Mathieu, Jagged partitions and lattice paths, Ann. Comb. (in press). math.CO/0605551
    • Ann. Comb
    • Jacob, P.1    Mathieu, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.