Some congruences for 3-component multipartitions

Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34). In this paper, we prove several congruences modulo powers of 3 fo...

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Bibliographic Details
Main Authors: Zhao Tao Yan, Jin Lily J., Gu C.
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0067/math-2016-0067.xml?format=INT

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