A proof of Subbarao's conjecture
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Publication:3145928
DOI10.1515/CRELLE.2011.165zbMath1276.11165OpenAlexW2055340390WikidataQ59664812 ScholiaQ59664812MaRDI QIDQ3145928
Publication date: 17 December 2012
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crelle.2011.165
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Elementary theory of partitions (11P81)
Related Items (21)
The partition function modulo 3 in arithmetic progressions ⋮ Linear incongruences for generalized eta-quotients ⋮ Parity of the coefficients of certain eta-quotients ⋮ Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights ⋮ On the number of even values of an eta-quotient ⋮ Hecke nilpotency for modular forms \(\bmod\, 2\) and an application to partition numbers ⋮ Variations on a result of Bressoud ⋮ Scarcity of congruences for the partition function ⋮ Parity of sums of partition numbers and squares in arithmetic progressions ⋮ Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions ⋮ Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 ⋮ On the density of the odd values of the partition function. II: An infinite conjectural framework ⋮ Incongruences for modular forms and applications to partition functions ⋮ A mod \(\ell\) Atkin-Lehner theorem and applications ⋮ On the density of the odd values of the partition function ⋮ An extensive analysis of the parity of broken 3-diamond partitions ⋮ Congruences for modular forms and generalized Frobenius partitions ⋮ Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences ⋮ Congruences of Hurwitz class numbers on square classes ⋮ Relations among Ramanujan-type congruences. I ⋮ New parity results of sums of partitions and squares in arithmetic progressions
Cites Work
- An algorithmic approach to Ramanujan's congruences
- On the parity of \(p(n)\). II
- On congruence properties of the partition function
- Distribution of the partition function modulo composite integers \(M\)
- Distribution of the partition function modulo \(m\)
- PARITY OF THE PARTITION FUNCTION IN ARITHMETIC PROGRESSIONS, II
- Note on the Parity of the Partition Functions.
- The Components of Modular Forms
- Some Remarks on the Partition Function
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