From sums of divisors to partition congruences

DOI10.1007/S13398-024-01617-9MaRDI QIDQ6552646

Mircea Merca

Publication date: 10 June 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

partitionscongruencesdivisors

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Cites Work

• Title not available (Why is that?)
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• The truncated pentagonal number theorem
• On the representation of a number as the sum of two, four, six, eight, ten, and twelve squares.
• On certain sums of products of quantities depending upon the divisors of a number.
• Truncated theta series and a problem of Guo and Zeng
• Truncated sums for the partition function and a problem of Merca
• Arithmetic properties of the sum of divisors
• Overpartitions

Related Items (1)

Proofs of some conjectural congruences of merca on a function related to the sum of the parts congruent to 0 modulo \(m\)

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