On Two Truncated Quintuple Series Theorems

DOI10.1080/10586458.2019.1660742OpenAlexW2974058397MaRDI QIDQ5094493

Mircea Merca

Publication date: 3 August 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2019.1660742

zbMATH Keywords

theta seriesquintuple product identityRogers-Ramanujan functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Other combinatorial number theory (11B75) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (6)

Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Truncated versions of three identities of Euler and Gauss ⋮ A further look at cubic partitions ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ A reversal of Schur's partition theorem

Cites Work

• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Truncated series from the quintuple product identity
• Truncated Jacobi triple product series
• Truncated Theta Series and Rogers-Ramanujan Functions
• On Watson’s quintuple product identity
• A Simple Proof of the Quintuple Product Identity

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