Congruences for p r (n) and Ramanujan's τ Function
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Publication:5721275
DOI10.2307/2313122zbMath0114.02901OpenAlexW4235688945MaRDI QIDQ5721275
Publication date: 1963
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2313122
Related Items (20)
Some New Congruence Identities of General Partition for pr(n) ⋮ Identities and congruences for the general partition and Ramanujan's tau functions ⋮ Theta-type congruences for colored partitions ⋮ Arithmetic properties of bipartitions with 3-cores ⋮ Congruences modulo prime for fractional colour partition function ⋮ Extension of a proof of the Ramanujan congruences for multipartitions ⋮ Unnamed Item ⋮ Partition identities and congruences associated with the Fourier coefficients of the Euler products. ⋮ Some new congruences modulo 5 for the general partition function ⋮ Infinite families of congruences modulo 7 for Ramanujan's general partition function ⋮ Congruences of multipartition functions modulo powers of primes ⋮ Congruences for bipartitions with odd parts distinct ⋮ INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES ⋮ Congruences modulo 9 for bipartitions with designated summands ⋮ Some results on bipartitions with 3-core ⋮ Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences ⋮ Unnamed Item ⋮ General congruences modulo 5 and 7 for colour partitions ⋮ Generalization of Ramanujan's congruences \(p(5m+4)\equiv 0\pmod 5\) and \(p(7m+5)\equiv 0\pmod 7\) ⋮ Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra
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