Arithmetic properties for 7-regular partition triples
Let T ℓ ( n ) denote the number of ℓ-regular partition triples of n . In this paper, we consider the arithmetic properties of T 7 ( n ). An infinite family of congruences modulo powers of 7 and several congruences modulo 7 are established. For instance, we prove that for all n ≥ 0 and α ≥ 1,...
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| Veröffentlicht in: | Indian journal of pure and applied mathematics 2020-06, Vol.51 (2), p.717-733 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
T
ℓ
(
n
) denote the number of ℓ-regular partition triples of
n
. In this paper, we consider the arithmetic properties of
T
7
(
n
). An infinite family of congruences modulo powers of 7 and several congruences modulo 7 are established. For instance, we prove that for all
n
≥ 0 and α ≥ 1, |
|---|---|
| ISSN: | 0019-5588 0975-7465 |
| DOI: | 10.1007/s13226-020-0426-4 |