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Partition Identities Arising from Theta Function Identities

Partition Identities Arising from Theta Function Identities
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摘要 The authors show that certain theta function identities of Schroeter and Ramanujan imply elegant partition identities. The authors show that certain theta function identities of Schroeter and Ramanujan imply elegant partition identities.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第6期955-970,共16页 数学学报(英文版)
基金 BOYSCAST Fellowship Grant SR/BY/M-03/05 from DST,Government of India NSA Grant MSPF-03IG-124
关键词 PARTITIONS colored partitions partition identities theta function identities modular equations partitions, colored partitions, partition identities, theta function identities, modular equations
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参考文献7

  • 1Farkas, H. M., Kra, I.: Partitions and theta constant identities, in The Mathematics of Leon Ehrenpreis, Contemp. Math. No. 251, American Maghematical Society, Providence, RI, 2000, 197-203
  • 2Schroter, H.: De aequationibus modulavibus, Dissertatio Inauguralis, Albertina Litterarum Universitate, Regiomonti, 1854
  • 3Ramanujan, S.: Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957
  • 4Baruah, N. D., Berndt, B. C.: Partition identities and Ramanujan's modular equations. J. Combin. Theory Set. A, 114, 1024-1045 (2007)
  • 5Berndt, B. C.: Partition-theoretic interpretations of certain modular equations of Schroter, Russell, and Ramanujan. Ann. of Combin., to appear
  • 6Berndt, B. C.:Ramanujan's Notebooks, Part Ⅲ, Sprtnger-Verlag, New York, 1991
  • 7Berndt, B. C.: Ramanujan's Notebooks, Part V, Springer-Verlag, New York, 1998

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