\(E\Upsilon PHKA\)! \(\mathrm{num}=\Delta +\Delta +\Delta\)

DOI10.1016/0022-314X(86)90074-0zbMath0586.10007MaRDI QIDQ1071795

George E. Andrews

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

generating functionnumber of representationsBailey transformssum of three triangular numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Representation problems (11D85)

Related Items

Unnamed Item, On the representation of integers as sums of triangular numbers, Partitions and indefinite quadratic forms., A note on the number of \(t\)-core partitions, New Representations for the Madelung Constant, The parameterized complexity of \(k\)-edge induced subgraphs, What can and cannot be done with Diophantine problems

Cites Work

• Two theorems of Gauss
• Multiple series Rogers-Ramanujan type identities
• The Fifth and Seventh Order Mock Theta Functions
• Unnamed Item
• Unnamed Item