Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences

DOI10.1090/S0002-9947-2013-05777-7zbMath1336.11071WikidataQ123167886 ScholiaQ123167886MaRDI QIDQ2847126

Cristian-Silviu Radu

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partitionsmodular formsRamanujan-type congruencesAhlgren-Ono conjecture

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Related Items (10)

Congruences involving arithmetic progressions for weakly holomorphic modular forms ⋮ Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers ⋮ Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights ⋮ Scarcity of congruences for the partition function ⋮ Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 ⋮ On congruence properties of the coefficients of Gaussian polynomials ⋮ Congruences of Hurwitz class numbers on square classes ⋮ Relations among Ramanujan-type congruences. I ⋮ Arithmetic properties of septic partition functions ⋮ Congruences like Atkin’s for the partition function

Cites Work

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• An algorithmic approach to Ramanujan's congruences
• Congruences like Ramanujan's for powers of the partition function
• Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
• Arithmetic properties of the partition function
• Distribution of the partition function modulo composite integers \(M\)
• Distribution of the partition function modulo \(m\)
• Cranks and t-cores
• A proof of Subbarao's conjecture
• Dyson’s crank of a partition
• Multiplicative Congruence Properties and Density Problems for p(n)
• Congruence properties for the partition function
• The Components of Modular Forms
• Some Properties of p(n) and c(n) Modulo Powers of 13
• Proof of a conjecture of Ramanujan
• Note on Partitions Modulo 5
• Some Properties of Partitions

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