On Some Partition Functions Related to Some Mock Theta Functions

Volume 57 / 2009

Alexander E. Patkowski Bulletin Polish Acad. Sci. Math. 57 (2009), 1-8 MSC: 05A17, 33D15, 05A19. DOI: 10.4064/ba57-1-1

Abstract

We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.

Authors

  • Alexander E. PatkowskiDepartment of Mathematics
    University of Florida
    Gainesville, FL 32611-8105, U.S.A.
    e-mail

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