Congruences for Andrews’ spt-function modulo powers of $5$, $7$ and $13$
From MaRDI portal
Publication:2841373
DOI10.1090/S0002-9947-2012-05513-9zbMath1286.11165arXiv1011.1955OpenAlexW1995671205MaRDI QIDQ2841373
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.1955
Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)
Related Items
Congruences for a class of eta-quotients and their applications ⋮ \(\ell\)-adic properties of partition functions ⋮ Congruences for \(\overline{\operatorname{spt}}_\omega(n)\) modulo powers of primes ⋮ The smallest parts function associated with ω(q) ⋮ A single-variable proof of the omega SPT congruence family over powers of 5 ⋮ Algebraic and transcendental formulas for the smallest parts function ⋮ \(\ell \)-adic properties of smallest parts functions ⋮ Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank ⋮ Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function ⋮ HECKE-TYPE CONGRUENCES FOR ANDREWS' SPT-FUNCTION MODULO 16 AND 32 ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts ⋮ HECKE-TYPE CONGRUENCES FOR TWO SMALLEST PARTS FUNCTIONS ⋮ Euler-like recurrences for smallest parts functions ⋮ A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Legendre theorems for subclasses of overpartitions ⋮ Newman's identities, lucas sequences and congruences for certain partition functions ⋮ Congruence properties of pk(n) ⋮ Two identities on the mock theta function \(V_0(q)\) ⋮ Mock modular Eisenstein series with Nebentypus ⋮ The rank of a unimodal sequence and a partial theta identity of Ramanujan ⋮ Congruences for Andrews’ spt-Function Modulo 32760 and Extension of Atkin’s Hecke-Type Partition Congruences ⋮ Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\ell \)-adic properties of smallest parts functions
- On the explicit construction of higher deformations of partition statistics
- On the slopes of the \(U_5\) operator acting on overconvergent modular forms
- Rank and crank moments for overpartitions
- Arithmetic properties of the partition function
- Relations between the ranks and cranks of partitions
- Hecke operators on \(\Gamma_0(m)\)
- On modular forms of half integral weight
- Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
- The number of smallest parts in the partitions of n
- CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
- Congruences for the Andrews spt function
- Partition Statistics and Quasiharmonic Maass Forms
- Some Properties of p(n) and c(n) Modulo Powers of 13
- Proof of a conjecture of Ramanujan
- Ramanujan Congruences for p-k(n)
- Ramanujans Vermutung über Zerfällungszahlen.
- Further Congruence Properties of the Fourier Coefficients of the Modular Invariant j(τ)
