On 3-regular tripartitions

Adiga, Chandrashekar and Ranganatha, D. (2019) On 3-regular tripartitions. Acta Mathematica Sinica, English Series, 35 (3). pp. 355-368.

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Official URL: https://doi.org/10.1007/s10114-018-7111-0

Abstract

In this article, we investigate the arithmetic behavior of the function D3(n) which counts the number of 3-regular tripartitions of n. For example, we show that for α ≥ 1 and n ≥ 0, D3 32αn + 11 • 32α−1 − 1 4 ≡ 0 (mod 32α+3) and D3 32αn + 7 • 32α−1 − 1 4 ≡ 0 (mod 32α+2).

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: Arshiya Kousar Library Assistant
Date Deposited: 31 Jan 2020 11:19
Last Modified: 11 Aug 2022 06:47
URI: http://eprints.uni-mysore.ac.in/id/eprint/11302

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