Generalized Lambert series and Euler's pentagonal number theorem
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Publication:2222883
DOI10.1007/s00009-020-01663-8zbMath1467.11087OpenAlexW3121814448MaRDI QIDQ2222883
Publication date: 27 January 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-020-01663-8
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
Related Items (3)
A further look at cubic partitions ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ A reversal of Schur's partition theorem
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Cites Work
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- The Lambert series factorization theorem
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- A new look on the generating function for the number of divisors
- Factorization theorems for generalized Lambert series and applications
- On the number of even parts in all partitions of \(n\) into distinct parts
- \(q\)-hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem
- The partition function \(p(n)\) in terms of the classical Möbius function
- New recurrence relations and matrix equations for arithmetic functions generated by Lambert series
- Generating Special Arithmetic Functions by Lambert Series Factorizations
- Counting Even and Odd Partitions
- A Partition Identity Related to Stanley’s Theorem
- Some finite generalizations of Euler's pentagonal number theorem
- A Short Proof of an Identity of Euler
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