Distribution of the partition function modulo composite integers \(M\)

From MaRDI portal
Publication:1592361

DOI10.1007/s002080000142zbMath1007.11061OpenAlexW2017789039MaRDI QIDQ1592361

Scott Ahlgren

Publication date: 26 March 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080000142



Related Items

Congruences involving arithmetic progressions for weakly holomorphic modular forms, Distribution of powers of the partition function modulo \(\ell ^j\), Congruence properties for the partition function, Infinite families of crank functions, Stanton-type conjectures, and unimodality, Modular forms of half-integral weights on SL(2, ℤ), Ramanujan-type congruences for certain generating functions, Effective congruences for mock theta functions, On certain McKay numbers of symmetric groups, Scarcity of congruences for the partition function, Ramanujan type identities and congruences for partition pairs, Congruences for 3-core cubic partitions, An invitation to formal power series, Extension of a proof of the Ramanujan congruences for multipartitions, Distribution of the coefficients of modular forms and the partition function, The partition function and Hecke operators, \(\ell \)-adic properties of smallest parts functions, On the density of the odd values of the partition function. II: An infinite conjectural framework, Generalized congruence properties of the restricted partition function \(p(n,m)\), Partition congruences and the Andrews-Garvan-Dyson crank, Lifting cusp forms to Maass forms with an application to partitions, The Andrews-Stanley partition function and $p(n)$: congruences, \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey, Partition values and central critical values of certain modular 𝐿-functions, Congruences satisfied by eta-quotients, Congruences for the Andrews spt function, RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY", RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION, RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS, Arithmetic of the 13-regular partition function modulo 3, Distribution of a certain partition function modulo powers of primes, Partitions and McKay numbers for \(S_n\), Dyson's ranks and Maass forms, Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\), A new proof of two identities involving Ramanujan's cubic continued fraction, Parity of the partition function, ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS, RANK AND CONGRUENCES FOR OVERPARTITION PAIRS, The arithmetic of partitions into distinct parts, Infinite families of infinite families of congruences for \(k\)-regular partitions, THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3, CONGRUENCES FOR DYSON'S RANKS, Unnamed Item, Mock Theta Functions Ranks and Maass Forms, The partition function modulo prime powers, Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences, Computing the integer partition function, Congruences like Atkin’s for the partition function, A proof of Subbarao's conjecture, Coefficients of half-integral weight modular forms.