On generalized Schur’s partitions

DOI10.1142/S1793042117500774zbMath1369.05016OpenAlexW2560161372MaRDI QIDQ5272468

Shi-Chao Chen, Zhu Cao

Publication date: 29 June 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117500774

zbMATH Keywords

congruencesmodular formssingular overpartitionsSchur's partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Analytic theory of partitions (11P82)

Related Items (2)

Parity of Schur's partition function ⋮ Arithmetic properties of Schur-type overpartitions

Cites Work

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• Congruences and asymptotics of Andrews' singular overpartitions
• Congruences for Andrews' singular overpartitions
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• Generalizations of Schur's partition theorem
• A refinement of the Alladi-Schur theorem
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• New congruences for Andrews' singular overpartitions
• A Proof of some identities of Ramanujan using modular forms
• A Combinatorial Proof of Schur's 1926 Partition Theorem
• A combinatorial proof of Andrews’ partition functions related to Schur’s partition theorem
• TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
• On Schur's second partition theorem

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