Exceptional congruences for powers of the partition function
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Publication:4811201
DOI10.4064/aa111-2-7zbMath1046.11028OpenAlexW2074049225MaRDI QIDQ4811201
Publication date: 18 August 2004
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: http://journals.impan.gov.pl/aa/Inf/111-2-7.html
Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33)
Related Items (24)
Congruences involving arithmetic progressions for weakly holomorphic modular forms ⋮ On eight colour partitions ⋮ Proofs of some conjectures of Chan and Wang on congruences for \((q;q)_\infty^{\frac{a}{b}}\) ⋮ Distribution of powers of the partition function modulo \(\ell ^j\) ⋮ SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION ⋮ \(\ell\)-adic properties of partition functions ⋮ Infinite families of crank functions, Stanton-type conjectures, and unimodality ⋮ Some congruences for 3-component multipartitions ⋮ Some New Congruence Identities of General Partition for pr(n) ⋮ Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\) ⋮ Ramanujan congruences for fractional partition functions ⋮ Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts ⋮ Identities and congruences for the general partition and Ramanujan's tau functions ⋮ Theta-type congruences for colored partitions ⋮ Jacobi forms with CM and applications ⋮ Congruences modulo powers of 2 for restricted partition triples due to Lin and Wang ⋮ Congruence relations for \(r\)-colored partitions ⋮ Fractional powers of the generating function for the partition function ⋮ Some new congruences modulo 5 for the general partition function ⋮ Families of congruences for fractional partition functions modulo powers of primes ⋮ Congruences for powers of the partition function ⋮ RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS ⋮ Proofs of some conjectures on the reciprocals of the Ramanujan-Gordon identities ⋮ Congruence properties of pk(n)
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