Truncated Theta Series and Rogers-Ramanujan Functions

DOI10.1080/10586458.2018.1542642zbMath1482.05017OpenAlexW2908566159MaRDI QIDQ5163154

Mircea Merca

Publication date: 3 November 2021

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

Full work available at URL: https://doi.org/10.1080/10586458.2018.1542642

zbMATH Keywords

partitions\(q\)-seriestheta seriesRogers-Ramanujan functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Combinatorial inequalities (05A20) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (11)

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 ⋮ On Two Truncated Quintuple Series Theorems ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ Unnamed Item ⋮ Truncated sums for the partition function and a problem of Merca ⋮ New truncated theorems for three classical theta function identities ⋮ A reversal of Schur's partition theorem ⋮ Infinite product formulae for generating functions for sequences of squares

Cites Work

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• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Truncated theta series and a problem of Guo and Zeng
• An Enumerative Proof of An Identity of Jacobi
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• On Watson’s quintuple product identity
• A Simple Proof of the Quintuple Product Identity

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