On the partitions into distinct parts and odd parts

DOI10.2989/16073606.2020.1769220zbMath1483.11226arXiv2005.03619OpenAlexW3033124819MaRDI QIDQ5163035

Mircea Merca

Publication date: 8 November 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03619

zbMATH Keywords

partitionstruncated theta series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (3)

A further look at cubic partitions ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ A reversal of Schur's partition theorem

Uses Software

• OEIS

Cites Work

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• The truncated pentagonal number theorem
• The Lambert series factorization theorem
• Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer
• Truncated theta series and a problem of Guo and Zeng
• Fast algorithm for generating ascending compositions
• A general method for proving the non-trivial linear homogeneous partition inequalities

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