On Some Partition Functions Related to Some Mock Theta Functions

• Autorzy: Alexander E. Patkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05A19: Combinatorial identities, bijective combinatorics
• 05A17: Partitions of integers
• 33D15: Basic hypergeometric functions in one variable, r φ s

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 1
• Strony: 1-8

Daty

wydano

2009

Twórcy

autor

Alexander E. Patkowski

• Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, U.S.A.

Identyfikatory

DOI

10.4064/ba57-1-1