New truncated theorems for three classical theta function identities
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Publication:2066006
DOI10.1016/j.ejc.2021.103470zbMath1480.05010OpenAlexW3214420134WikidataQ113875494 ScholiaQ113875494MaRDI QIDQ2066006
Ae Ja Yee, Ernest X. W. Xia, Xiang Zhao
Publication date: 13 January 2022
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2021.103470
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)
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Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Identities involving mock theta functions and theta functions ⋮ Truncated versions of three identities of Euler and Gauss ⋮ Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair ⋮ Generalizations of the truncated pentagonal number theorem results ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series
Cites Work
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- The truncated pentagonal number theorem
- A truncated Jacobi triple product theorem
- Proofs of two conjectures on truncated series
- Interpreting the truncated pentagonal number theorem using partition pairs
- Bilateral truncated Jacobi's identity
- Enumeration of partitions with prescribed successive rank parity blocks
- Truncated series from the quintuple product identity
- Arithmetic properties of partitions with odd parts distinct
- Extension of the partition sieve
- Combinatorial proofs of two truncated theta series theorems
- Truncated theta series and a problem of Guo and Zeng
- Two truncated identities of Gauss
- Truncated Jacobi triple product series
- Truncated sums for the partition function and a problem of Merca
- A truncated theta identity of Gauss and overpartitions into odd parts
- Singular overpartitions and partitions with prescribed hook differences
- Truncated Hecke-Rogers type series
- On the $q$-partial differential equations and $q$-series
- Another approach to the Truncated Pentagonal Number Theorem
- Overpartitions
- On the sum of parts with multiplicity at least 2 in all the partitions of n
- Truncated Theta Series and Rogers-Ramanujan Functions
- A further look at the truncated pentagonal number theorem
- Sieves in the Theory of Partitions