Arithmetical properties of the number of \(t\)-core partitions
From MaRDI portal
Publication:1039633
DOI10.1007/s11139-007-9045-5zbMath1195.11139OpenAlexW2066396762MaRDI QIDQ1039633
Publication date: 23 November 2009
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-007-9045-5
Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Analytic theory of partitions (11P82)
Related Items
Ramanujan-type congruences for certain generating functions ⋮ Arithmetic properties of bipartitions with 3-cores ⋮ Some infinite families of congruences for \(t\)-core partition functions ⋮ Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions ⋮ Ramanujan type congruences for quotients of level 7 Klein forms ⋮ INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES ⋮ Congruences for \(t\)-core partition functions ⋮ On the distribution of \(2^t\)-core partitions modulo \(2^j\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- More congruences for the coefficients of quotients of Eisenstein series
- Some parity results for 16-cores
- Elementary proofs of infinitely many congruences for 8-cores
- The blocks of finite general linear and unitary groups
- Some amazing facts about \(4\)-cores
- Distribution of the partition function modulo \(m\)
- On modular forms of half integral weight
- Cranks and t-cores
- 4-core partitions and class numbers
- Modular forms of half integral weight and the integral of certain theta-functions
- Some Congruences for Partitions that are p -Cores
- Partition Identities and Labels for Some Modular Characters
- Defect zero blocks for finite simple groups
- Construction and Application of a Class of Modular Functions (II)†
- Congruences for \(2^t\)-core partition functions