Arithmetic properties of partitions with designated summands

DOI10.1016/j.jnt.2015.06.016zbMath1330.11066OpenAlexW1438330104MaRDI QIDQ746936

Ernest X. W. Xia

Publication date: 21 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.016

zbMATH Keywords

congruencestheta function identitiespartitions with designated summands

Mathematics Subject Classification ID

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

Related Items (12)

Some results concerning partitions with designated summands ⋮ New infinite families of congruences for the number of tagged parts over partitions with designated summands ⋮ Infinitely many congruences for \(k\)-regular partitions with designated summands ⋮ The number of tagged parts over the 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 ⋮ CONGRUENCESFORBIPARTITIONSWITHODDDESIGNATED SUMMANDS ⋮ Unnamed Item ⋮ DIVISIBILITY OF THE PARTITION FUNCTION BY POWERS OF AND ⋮ Arithmetic properties of bipartitions with designated summands ⋮ Congruences modulo 9 for bipartitions with designated summands ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• On the number of partitions with designated summands
• Modular forms whose coefficients possess multiplicative properties
• Arithmetic consequences of Jacobi's two-squares theorem
• Relations between squares and triangles
• 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

This page was built for publication: Arithmetic properties of partitions with designated summands