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Volumn 69, Issue 3, 2004, Pages 562-574

Overpartition theorems of the Rogers-Ramanujan type

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EID: 3042633345     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610704005216     Document Type: Article
Times cited : (57)

References (17)
  • 1
    • 84968518328 scopus 로고
    • A generalization of the Gollnitz-Gordon partition theorems
    • G. E. ANDREWS, 'A generalization of the Gollnitz-Gordon partition theorems', Proc. Amer. Math. Soc. 18 (1967) 945-952.
    • (1967) Proc. Amer. Math. Soc. , vol.18 , pp. 945-952
    • Andrews, G.E.1
  • 2
    • 0005276820 scopus 로고
    • On q-difference equations for certain well-poised basic hypergeometric series
    • G. E. ANDREWS, 'On q-difference equations for certain well-poised basic hypergeometric series', Quart. J. Math. Ser. 2 19 (1968) 433-447.
    • (1968) Quart. J. Math. Ser. 2 , vol.19 , pp. 433-447
    • Andrews, G.E.1
  • 3
    • 84968503315 scopus 로고
    • A generalization of the classical partition theorems
    • G. E. ANDREWS, 'A generalization of the classical partition theorems', Trans. Amer. Math. Soc. 145 (1969) 205-221.
    • (1969) Trans. Amer. Math. Soc. , vol.145 , pp. 205-221
    • Andrews, G.E.1
  • 4
    • 0000316810 scopus 로고
    • Generalizations of the Durfee square
    • G.E. ANDREWS, 'Generalizations of the Durfee square', J. London Math. Soc. 3 (1971) 563-570.
    • (1971) J. London Math. Soc. , vol.3 , pp. 563-570
    • Andrews, G.E.1
  • 5
    • 0011669413 scopus 로고
    • On the general Rogers-Ramanujan theorem
    • G. E. ANDREWS, 'On the general Rogers-Ramanujan theorem', Mem. Amer. Math. Soc. 152 (1974).
    • (1974) Mem. Amer. Math. Soc. , vol.152
    • Andrews, G.E.1
  • 6
    • 0000068191 scopus 로고
    • Problems and prospects for basic hypergeometric series
    • Academic Press, New York
    • G. E. ANDREWS, 'Problems and prospects for basic hypergeometric series', The theory and application of special functions (Academic Press, New York, 1975).
    • (1975) The Theory and Application of Special Functions
    • Andrews, G.E.1
  • 7
    • 0000469666 scopus 로고
    • Partitions and Durfee dissection
    • G. E. ANDREWS, 'Partitions and Durfee dissection', Amer. J. Math. 101 (1979) 735-742.
    • (1979) Amer. J. Math. , vol.101 , pp. 735-742
    • Andrews, G.E.1
  • 9
    • 21744453868 scopus 로고    scopus 로고
    • Rogers-Ramanujan type identities for partitions with attached odd parts
    • G. E. ANDREWS and J. P. O. SANTOS, 'Rogers-Ramanujan type identities for partitions with attached odd parts', Ramanujan J. 1 (1997) 91-99.
    • (1997) Ramanujan J. , vol.1 , pp. 91-99
    • Andrews, G.E.1    Santos, J.P.O.2
  • 12
    • 0001147296 scopus 로고
    • Partitionen mit Differenzenbedingungen
    • H. GOLLNITZ, 'Partitionen mit Differenzenbedingungen', J. Reine Angew. Math. 225 (1967) 154-190.
    • (1967) J. Reine Angew. Math. , vol.225 , pp. 154-190
    • Gollnitz, H.1
  • 13
    • 0000089115 scopus 로고
    • A combinatorial generalization of the Rogers-Ramanujan identities
    • B. GORDON, 'A combinatorial generalization of the Rogers-Ramanujan identities', Amer. J. Math. 83 (1961) 393-399.
    • (1961) Amer. J. Math. , vol.83 , pp. 393-399
    • Gordon, B.1
  • 14
    • 84972507660 scopus 로고
    • Some continued fractions of the Rogers-Ramanujan type
    • B. GORDON, 'Some continued fractions of the Rogers-Ramanujan type', Duke Math. J. 31 (1965) 741-748.
    • (1965) Duke Math. J. , vol.31 , pp. 741-748
    • Gordon, B.1
  • 15
    • 85027223643 scopus 로고    scopus 로고
    • New identities of Hall-Littlewood polynomials and applications
    • to appear
    • F. JOUHET and J. ZENG, 'New identities of Hall-Littlewood polynomials and applications', Ramanujan J., to appear.
    • Ramanujan J.
    • Jouhet, F.1    Zeng, J.2
  • 16
    • 0041350830 scopus 로고    scopus 로고
    • Gordon's theorem for Overpartitions
    • J. LOVEJOY, 'Gordon's theorem for Overpartitions', J. Combin. Theory Ser. A. 103 (2003) 393-401.
    • (2003) J. Combin. Theory Ser. A. , vol.103 , pp. 393-401
    • Lovejoy, J.1
  • 17
    • 84963093294 scopus 로고
    • Further identities of the Rogers-Ramanujan type
    • L. J. SLATER, 'Further identities of the Rogers-Ramanujan type', Proc. London Math. Soc. 54 (1952) 147-167.
    • (1952) Proc. London Math. Soc. , vol.54 , pp. 147-167
    • Slater, L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.