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Volumn 25, Issue 8, 2004, Pages 1139-1149

Partition congruences by involutions

Author keywords

Fine's Theorem; Franklin's involution; Partition congruence

Indexed keywords


EID: 4444220539     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2003.09.018     Document Type: Article
Times cited : (18)

References (17)
  • 1
    • 0000826686 scopus 로고    scopus 로고
    • Addition and counting: The arithmetic of partitions
    • Ahlgren S. Ono K. Addition and counting: the arithmetic of partitions Notices Amer. Math. Soc. 48 2001 978-984
    • (2001) Notices Amer. Math. Soc. , vol.48 , pp. 978-984
    • Ahlgren, S.1    Ono, K.2
  • 2
    • 84972572976 scopus 로고
    • Two theorems of Gauss and allied identities proved arithmetically
    • Andrews G.E. Two theorems of Gauss and allied identities proved arithmetically Pacific J. Math. 41 1972 563-578
    • (1972) Pacific J. Math. , vol.41 , pp. 563-578
    • Andrews, G.E.1
  • 4
    • 0003825344 scopus 로고
    • Partitions: Yesterday and Today
    • Wellington, NZ: The New Zealand Math. Soc
    • Andrews G.E. Partitions: Yesterday and Today 1979 The New Zealand Math. Soc Wellington, NZ
    • (1979)
    • Andrews, G.E.1
  • 6
    • 0009789676 scopus 로고    scopus 로고
    • Franklin's argument proves an identity of Zagier
    • Chapman R. Franklin's argument proves an identity of Zagier Electron. J. Combin. 7 2000 RP 54
    • (2000) Electron. J. Combin. , vol.7
    • Chapman, R.1
  • 8
    • 0041837704 scopus 로고
    • Some new results on partitions
    • Fine N.J. Some new results on partitions Proc. Natl. Acad. Sci. USA 34 1948 616-618
    • (1948) Proc. Natl. Acad. Sci. USA , vol.34 , pp. 616-618
    • Fine, N.J.1
  • 9
    • 0003744106 scopus 로고
    • Basic Hypergeometric Series and Applications
    • Providence, RI: AMS
    • Fine N.J. Basic Hypergeometric Series and Applications 1988 AMS Providence, RI
    • (1988)
    • Fine, N.J.1
  • 12
    • 3342966443 scopus 로고
    • Identities from partition involutions
    • Knuth D.E. Paterson M.S. Identities from partition involutions Fibonacci Quart. 16 1978 198-212
    • (1978) Fibonacci Quart. , vol.16 , pp. 198-212
    • Knuth, D.E.1    Paterson, M.S.2
  • 13
    • 3342992128 scopus 로고    scopus 로고
    • An extension of Franklin's bijection
    • Art. B42h
    • Little D.P. An extension of Franklin's bijection Sém. Lothar. Combin. 42 1999 Art. B42h, 10
    • (1999) Sém. Lothar. Combin. , vol.42 , pp. 10
    • Little, D.P.1
  • 14
    • 4444250857 scopus 로고    scopus 로고
    • Partition bijections, a survey
    • (in press)
    • Pak I. Partition bijections, a survey Ramanujan J. 69 2003 (in press)
    • (2003) Ramanujan J. , vol.69
    • Pak, I.1
  • 15
    • 3342891791 scopus 로고    scopus 로고
    • On Fine's partition theorems, Dyson, Andrews, and missed opportunities
    • Pak I. On Fine's partition theorems, Dyson, Andrews, and missed opportunities Math. Intelligencer 25 2003 10-16
    • (2003) Math. Intelligencer , vol.25 , pp. 10-16
    • Pak, I.1
  • 16
    • 3342970383 scopus 로고    scopus 로고
    • The nature of partition bijections I. Involutions
    • (in press)
    • I. Pak, The nature of partition bijections I. Involutions, Adv. Appl. Math. 25 (in press)
    • Adv. Appl. Math. , vol.25
    • Pak, I.1
  • 17
    • 0000765153 scopus 로고
    • A constructive theory of partitions, arranged in three acts, an interact and an exodion
    • J.J. Sylvester, A constructive theory of partitions, arranged in three acts, an interact and an exodion, Amer. J. Math. 5 (1882) 251-330
    • (1882) Amer. J. Math. , vol.5 , pp. 251-330
    • Sylvester, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.