On 3-Regular Tripartitions View Full Text


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Article Info

DATE

2019-03

AUTHORS

Chandrashekar Adiga, Ranganatha Dasappa

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−1−14)≡0(mod32α+3) and D3(32αn+7⋅32α−1−14)≡0(mod32α+2).

PAGES

1-14

References to SciGraph publications

  • 2017-09. Ramanujan-type congruences modulo powers of 5 and 7 in INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • 2017-12. Congruences modulo powers of 5 for two restricted bipartitions in THE RAMANUJAN JOURNAL
  • 2010-05. Congruences modulo powers of 2 for a certain partition function in THE RAMANUJAN JOURNAL
  • 2018-08. Congruences for 7 and 49-regular partitions modulo powers of 7 in THE RAMANUJAN JOURNAL
  • 2017-11. Congruences for 5-regular partitions modulo powers of 5 in THE RAMANUJAN JOURNAL
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    http://scigraph.springernature.com/pub.10.1007/s10114-018-7111-0

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    http://dx.doi.org/10.1007/s10114-018-7111-0

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