Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions
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Publication:1676101
DOI10.1007/s11139-016-9801-5zbMath1432.11151OpenAlexW2498670683MaRDI QIDQ1676101
Ya Juan Wang, Olivia X. M. Yao
Publication date: 3 November 2017
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-016-9801-5
theta functioncongruencebroken \(k\)-diamond partition\((pk)\)-parametrization of theta functionNewman's identity
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (5)
Congruences modulo 11 for broken 5-diamond partitions ⋮ Some congruences for 3-component multipartitions ⋮ Congruences modulo 7 for broken 3-diamond partitions ⋮ New congruences for broken $k$-diamond partitions ⋮ Parity results for broken 11-diamond partitions
Cites Work
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- Congruences for broken \(k\)-diamond partitions
- New parity results for broken 11-diamond partitions
- New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
- Infinite families of strange partition congruences for broken 2-diamonds
- Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
- An extensive analysis of the parity of broken 3-diamond partitions
- Modular forms whose coefficients possess multiplicative properties
- Some congruences for Andrews-Paule's broken 2-diamond partitions
- The number of representations of a positive integer by certain octonary quadratic forms
- Congruences for broken 3-diamond and 7 dots bracelet partitions
- Elementary proofs of Radu and Sellers' results for broken 2-diamond partitions
- Elementary proofs of parity results for broken 3-diamond partitions
- FOURIER SERIES OF A CLASS OF ETA QUOTIENTS
- Parity results for broken k-diamond partitions and (2k+1)-cores
- On the two-dimensional theta functions of the Borweins
- MacMahon's partition analysis XI: Broken diamonds and modular forms
- On recent congruence results of Andrews and Paule for broken k-diamonds
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