The number of tagged parts over the partitions with designated summands

DOI10.1016/j.jnt.2017.08.020zbMath1375.05021OpenAlexW2760742983MaRDI QIDQ1677492

Bernard L. S. Lin

Publication date: 21 November 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.020

zbMATH Keywords

congruencedissection formulapartitions with designated summands

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (6)

Some results concerning partitions with designated summands ⋮ New infinite families of congruences for the number of tagged parts over partitions with designated summands ⋮ New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands ⋮ Unnamed Item ⋮ DIVISIBILITY OF THE PARTITION FUNCTION BY POWERS OF AND ⋮ A rank of partitions with overline designated summands

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic properties of partitions with even parts distinct
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• Arithmetic properties of overcubic partition pairs
• On the number of partitions with designated summands
• Arithmetic properties of partitions with designated summands
• Explicit formulas for partition pairs and triples with 3-cores
• Some results on bipartitions with 3-core
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Partitions with designated summands
• MacMahon's sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms
• Formulas for partition \(k\)-tuples with \(t\)-cores

This page was built for publication: The number of tagged parts over the partitions with designated summands