Acta Mathematica Sinica, English Series

, Volume 33, Issue 11, pp 1504–1512 | Cite as

Arithmetic properties for cubic partition pairs modulo powers of 3

  • Shane Chern


Let b(n) denote the number of cubic partition pairs of n. In this paper, we aim to provide a strategy to obtain arithmetic properties of b(n). This gives affirmative answers to two of Lin’s conjectures.


Cubic partition pair congruence 

MR(2010) Subject Classification

05A17 11P83 


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Many thanks go to George E. Andrews for encouraging me in the study of partition theory.


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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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