Abstract
The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.
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Farkas, H. M., Kra, I.: Partitions and theta constant identities, in The Mathematics of Leon Ehrenpreis, Contemp. Math. No. 251, American Mathematical Society, Providence, RI, 2000, 197–203
Schröter, H.: De aequationibus modularibus, Dissertatio Inauguralis, Albertina Litterarum Universitate, Regiomonti, 1854
Ramanujan, S.: Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957
Baruah, N. D., Berndt, B. C.: Partition identities and Ramanujan’s modular equations. J. Combin. Theory Ser. A, 114, 1024–1045 (2007)
Berndt, B. C.: Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Ann. of Combin., to appear
Berndt, B. C.: Ramanujan’s Notebooks, Part III, Springer-Verlag, New York, 1991
Berndt, B. C.: Ramanujan’s Notebooks, Part V, Springer-Verlag, New York, 1998
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Research partly supported by BOYSCAST Fellowship Grant SR/BY/M-03/05 from DST, Government of India
Research partly supported by NSA Grant MSPF-03IG-124
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Baruah, N.D., Berndt, B.C. Partition identities arising from theta function identities. Acta. Math. Sin.-English Ser. 24, 955–970 (2008). https://doi.org/10.1007/s10114-007-0960-6
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DOI: https://doi.org/10.1007/s10114-007-0960-6