Arithmetic properties of bipartitions with designated summands

DOI10.1007/s40590-016-0140-8zbMath1440.11199OpenAlexW2473154026MaRDI QIDQ1743767

C. Shivashankar, Megadahalli S. Mahadeva Naika

Publication date: 16 April 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0140-8

zbMATH Keywords

congruencestheta functionbipartitions with designated summands

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items

Unnamed Item, CONGRUENCESFORBIPARTITIONSWITHODDDESIGNATED SUMMANDS, Congruences modulo 9 for bipartitions with designated summands, Unnamed Item, A crank for bipartitions with designated summands, Congruences for \(\ell\)-regular overpartitions into odd parts

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• On the number of partitions with designated summands
• Arithmetic properties of partitions with designated summands
• 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