Two conjectures of Andrews, Merca and Yee on truncated theta series

DOI10.1016/J.JCTA.2024.105874zbMATH Open1540.11138MaRDI QIDQ6543046

Ernest X. W. Xia, Shane Chern

Publication date: 24 May 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

partitionsasymptotic relationsEuler's pentagonal number theoremWright's circle methodtruncated theta series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Other combinatorial number theory (11B75) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

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 series from the quintuple product identity
• Combinatorial proofs of two truncated theta series theorems
• Truncated theta series and a problem of Guo and Zeng
• Some observations on Dyson's new symmetries of partitions
• Two truncated identities of Gauss
• Truncated Jacobi triple product series
• New truncated theorems for three classical theta function identities
• Overpartitions
• Asymptotic Partition Formulae: (II) Weighted Partitions
• On the sum of parts with multiplicity at least 2 in all the partitions of n
• Truncated versions of three identities of Euler and Gauss
• A further look at the truncated pentagonal number theorem

Related Items (2)

Proofs of some conjectures of Merca on truncated series involving the Rogers-Ramanujan functions ⋮ Some conjectures of Ballantine and Merca on truncated sums and the minimal excludant in congruences classes

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