메뉴 건너뛰기




Volumn 12, Issue 3, 1999, Pages 677-702

An A2 Bailey lemma and Rogers-Ramanujan-type identities

Author keywords

A2 Bailey lemma; Rogers Ramanujan identities

Indexed keywords


EID: 0033446279     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-99-00297-0     Document Type: Article
Times cited : (72)

References (40)
  • 2
    • 0016272054 scopus 로고
    • An analytic generalization of the Rogers-Ramanujan identities for odd moduli
    • MR 50:4473
    • G. E. Andrews, An analytic generalization of the Rogers-Ramanujan identities for odd moduli, Proc. Nat. Acad. Sci. USA 71 (1974), 4082-4085. MR 50:4473
    • (1974) Proc. Nat. Acad. Sci. USA , vol.71 , pp. 4082-4085
    • Andrews, G.E.1
  • 3
    • 0003341319 scopus 로고
    • The Theory of Partitions
    • Addison-Wesley, Reading, Massachusetts, MR 58:27738
    • G. E. Andrews, The Theory of Partitions, Encyclopedia of Mathematics and its Applications, Vol. 2 (Addison-Wesley, Reading, Massachusetts, 1976). MR 58:27738
    • (1976) Encyclopedia of Mathematics and Its Applications , vol.2
    • Andrews, G.E.1
  • 4
    • 84972580044 scopus 로고
    • Multiple series Rogers-Ramanujan type identities
    • MR 86c:11084
    • G. E. Andrews, Multiple series Rogers-Ramanujan type identities, Pacific J. Math. 114 (1984), 267-283. MR 86c:11084
    • (1984) Pacific J. Math. , vol.114 , pp. 267-283
    • Andrews, G.E.1
  • 6
    • 84960575615 scopus 로고
    • Identities of the Rogers-Ramanujan type
    • MR 9:585b
    • W. N. Bailey, Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949), 1-10. MR 9:585b
    • (1949) Proc. London Math. Soc. (2) , vol.50 , pp. 1-10
    • Bailey, W.N.1
  • 7
    • 0002231662 scopus 로고
    • A generalization of the Rogers Ramanujan identities for all moduli
    • MR 81c:05008
    • D. M. Bressoud, A generalization of the Rogers Ramanujan identities for all moduli, J. Combin. Theory Ser. A 27 (1979), 64-68. MR 81c:05008
    • (1979) J. Combin. Theory Ser. A , vol.27 , pp. 64-68
    • Bressoud, D.M.1
  • 8
    • 0011574745 scopus 로고
    • An analytic generalization of the Rogers-Ramanujan identities with interpretation
    • MR 83d:05011
    • D. M. Bressoud. An analytic generalization of the Rogers-Ramanujan identities with interpretation, Quart. J. Math. Oxford (2) 31 (1980), 385-399. MR 83d:05011
    • (1980) Quart. J. Math. Oxford (2) , vol.31 , pp. 385-399
    • Bressoud, D.M.1
  • 9
    • 0003248591 scopus 로고
    • Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
    • MR 81i:10019
    • D. M. Bressoud, Analytic and combinatorial generalizations of the Rogers-Ramanujan identities, Memoirs Amer. Math. Soc. 24 (1980), 1-54. MR 81i:10019
    • (1980) Memoirs Amer. Math. Soc. , vol.24 , pp. 1-54
    • Bressoud, D.M.1
  • 11
    • 84966219466 scopus 로고
    • Missed opportunities
    • MR 58:25442
    • F. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 140-156. MR 58:25442
    • (1972) Bull. Amer. Math. Soc. , vol.78 , pp. 140-156
    • Dyson, F.1
  • 12
    • 0000430618 scopus 로고
    • The models of two-dimensional conformal quantum field theory with Zn symmetry
    • MR 89b:81133
    • V. A. Fateev and S. L. Lykyanov, The models of two-dimensional conformal quantum field theory with Zn symmetry, Int. J. Mod. Phys. A 3 (1988), 507-520. MR 89b:81133
    • (1988) Int. J. Mod. Phys. A , vol.3 , pp. 507-520
    • Fateev, V.A.1    Lykyanov, S.L.2
  • 13
    • 0003251542 scopus 로고    scopus 로고
    • Young tableaux: With applications to representation theory and geometry
    • Cambridge University Press CMP 97:16
    • W. Fulton, Young tableaux: with applications to representation theory and geometry, London Math. Soc. student texts 35, Cambridge University Press (1997). CMP 97:16
    • (1997) London Math. Soc. Student Texts , vol.35
    • Fulton, W.1
  • 14
    • 0003344023 scopus 로고
    • Basic Hypergeometric Series
    • Cambridge University Press, Cambridge, MR 91d:33034
    • G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, Vol. 35 (Cambridge University Press, Cambridge, 1990). MR 91d:33034
    • (1990) Encyclopedia of Mathematics and Its Applications , vol.35
    • Gasper, G.1    Rahman, M.2
  • 16
    • 0000089115 scopus 로고
    • A combinatorial generalization of the Rogers-Ramanujan identities
    • MR 23:A809
    • B. Gordon, A combinatorial generalization of the Rogers-Ramanujan identities, Amer. J. Math. 83 (1961), 393-399. MR 23:A809
    • (1961) Amer. J. Math. , vol.83 , pp. 393-399
    • Gordon, B.1
  • 17
    • 0004250391 scopus 로고
    • Cambridge University Press, London and New York, MR 3:71d
    • G. H. Hardy, Ramanujan (Cambridge University Press, London and New York, 1940). MR 3:71d
    • (1940) Ramanujan
    • Hardy, G.H.1
  • 20
    • 0002987278 scopus 로고
    • Dilogarithm identities
    • MR 96h:11102
    • A. N. Kirillov, Dilogarithm identities, Prog. Theor. Phys. Suppl. 118 (1995), 61-142. MR 96h:11102
    • (1995) Prog. Theor. Phys. Suppl. , vol.118 , pp. 61-142
    • Kirillov, A.N.1
  • 22
    • 0000874713 scopus 로고
    • The Bethe Ansatz and the combinatorics of Young tableaux
    • A. N. Kirillov and N. Yu. Reshetikhin, The Bethe Ansatz and the combinatorics of Young tableaux, J. Soviet Math. 41 (1988), 925-955.
    • (1988) J. Soviet Math. , vol.41 , pp. 925-955
    • Kirillov, A.N.1    Reshetikhin, N.Yu.2
  • 23
    • 51249176918 scopus 로고
    • Generating functions for plane partitions of a given shape
    • MR 92a:05010
    • C. Krattenthaler, Generating functions for plane partitions of a given shape, Manuscripta Math. 69 (1990), 173-202. MR 92a:05010
    • (1990) Manuscripta Math. , vol.69 , pp. 173-202
    • Krattenthaler, C.1
  • 24
    • 0000153229 scopus 로고
    • Ferro- and antiferro-magnetizations in RSOS models
    • MR 92m:82043
    • A. Kuniba, T. Nakanishi and J. Suzuki, Ferro- and antiferro-magnetizations in RSOS models, Nucl. Phys. B 356 (1991), 750-774. MR 92m:82043
    • (1991) Nucl. Phys. B , vol.356 , pp. 750-774
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 25
    • 34250473707 scopus 로고
    • Affine root systems and Dedekind's η-function
    • MR 50:9996
    • I. G. Macdonald, Affine root systems and Dedekind's η-function, Inv. Math. 15 (1972), 91-143. MR 50:9996
    • (1972) Inv. Math. , vol.15 , pp. 91-143
    • Macdonald, I.G.1
  • 27
    • 0004205061 scopus 로고
    • Cambridge University Press, London and New York
    • P. A. MacMahon, Combinatory Analysis, Vol. 2 (Cambridge University Press, London and New York, 1916).
    • (1916) Combinatory Analysis , vol.2
    • MacMahon, P.A.1
  • 28
    • 0000585137 scopus 로고
    • Classical partition functions and the U(n + 1) Rogers-Selberg identity
    • MR 93m:33017
    • S. C. Milne, Classical partition functions and the U(n + 1) Rogers-Selberg identity, Discrete Math. 99 (1992), 199-246. MR 93m:33017
    • (1992) Discrete Math. , vol.99 , pp. 199-246
    • Milne, S.C.1
  • 29
    • 43949159722 scopus 로고
    • A q-analog of a Whipple's transformation for hypergeometric series in U(n)
    • MR 96h:33011
    • S. C. Milne, A q-analog of a Whipple's transformation for hypergeometric series in U(n), Adv. in Math. 108 (1994), 1-76. MR 96h:33011
    • (1994) Adv. in Math. , vol.108 , pp. 1-76
    • Milne, S.C.1
  • 31
    • 0001132088 scopus 로고
    • ℓ Bailey transform and Bailey lemma
    • MR 96g:33025
    • ℓ Bailey transform and Bailey lemma, Discrete Math. 139 (1995), 319-346. MR 96g:33025
    • (1995) Discrete Math. , vol.139 , pp. 319-346
    • Milne, S.C.1    Lilly, G.M.2
  • 32
    • 0011457432 scopus 로고
    • 3 minimal model
    • MR 92k:81056
    • 3 minimal model, Int. J. Mod. Phys. A 6 (1991), 133-162. MR 92k:81056
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 133-162
    • Mizoguchi, S.1
  • 33
    • 0345788168 scopus 로고
    • Non-unitary minimal models and RSOS models
    • T. Nakanishi, Non-unitary minimal models and RSOS models, Nucl. Phys. B 334 (1990), 745-766.
    • (1990) Nucl. Phys. B , vol.334 , pp. 745-766
    • Nakanishi, T.1
  • 34
    • 46549103330 scopus 로고
    • On identities of the Rogers-Ramanujan type
    • MR 86i:11055
    • P. Paule, On identities of the Rogers-Ramanujan type, J. Math. Anal. Appl. 107 (1985), 225-284. MR 86i:11055
    • (1985) J. Math. Anal. Appl. , vol.107 , pp. 225-284
    • Paule, P.1
  • 35
    • 84960587118 scopus 로고
    • Second memoir on the expansion of certain infinite products
    • L. J. Rogers, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1894), 318-343.
    • (1894) Proc. London Math. Soc. , vol.25 , pp. 318-343
    • Rogers, L.J.1
  • 36
    • 75149112829 scopus 로고
    • On two theorems of combinatory analysis and some allied identities
    • L. J. Rogers, On two theorems of combinatory analysis and some allied identities, Proc. London Math. Soc. (2) 16 (1917), 315-336.
    • (1917) Proc. London Math. Soc. (2) , vol.16 , pp. 315-336
    • Rogers, L.J.1
  • 37
    • 0001410256 scopus 로고
    • Proof of certain identities in combinatory analysis
    • L. J. Rogers and S. Ramanujan, Proof of certain identities in combinatory analysis, Proc. Cambridge Phil. Soc. 19 (1919), 211-216.
    • (1919) Proc. Cambridge Phil. Soc. , vol.19 , pp. 211-216
    • Rogers, L.J.1    Ramanujan, S.2
  • 39
    • 0002259360 scopus 로고
    • Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche
    • I. J. Schur, Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche, S.-B. Preuss. Akad. Wiss. Phys.-Math. Kl. (1917), 302-321.
    • (1917) S.-B. Preuss. Akad. Wiss. Phys.-Math. Kl. , pp. 302-321
    • Schur, I.J.1
  • 40
    • 0041554226 scopus 로고
    • Infinite additional symmetries in two-dimensional conformal quantum field theory
    • A. B. Zamolodchikov, Infinite additional symmetries in two-dimensional conformal quantum field theory, Teo. Mat. Fiz. 65 (1985), 347-359.
    • (1985) Teo. Mat. Fiz. , vol.65 , pp. 347-359
    • Zamolodchikov, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.