Congruences involving arithmetic progressions for weakly holomorphic modular forms (Q266133)

scientific article; zbMATH DE number 6567878

Language	Label	Description	Also known as
English	Congruences involving arithmetic progressions for weakly holomorphic modular forms	scientific article; zbMATH DE number 6567878

Statements

instance of

scholarly article

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title

Congruences involving arithmetic progressions for weakly holomorphic modular forms (English)

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author

Dohoon Choi

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published in

Advances in Mathematics

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publication date

13 April 2016

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zbMATH Keywords

congruences for modular forms

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colored partitions

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generalized Frobenius partitions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.aim.2016.02.032

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cites work

Distribution of the partition function modulo composite integers $M$

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Arithmetic properties of the partition function

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Coefficients of half-integral weight modular forms modulo $\ell^{ j }$

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Congruences for level four cusp forms

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Congruence properties for the partition function

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Arithmetic of singular moduli and class polynomials

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Generalized Frobenius partitions

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Q3801620

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Dyson’s crank of a partition

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Multiplicative Congruence Properties and Density Problems for <i>p(n)</i>

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Some Properties of p(n) and c(n) Modulo Powers of 13

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Some Properties of Partitions

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Invarianten linearer Differentialgleichungen

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Exceptional congruences for powers of the partition function

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Eichler-Shimura theory for mock modular forms

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Coefficients of half-integral weight modular forms.

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Modular forms of half-integral weight with few non-vanishing coefficients modulo $\ell $

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The spaces of new forms for harmonic weak Maass forms and their level raising properties modulo $\ell$

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Formes modulaires de poids $1$

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Q5717206

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$\ell$-adic properties of the partition function. Appendix A by Nick Ramsey

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Field Arithmetic

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A tameness criterion for Galois representations associated to modular forms (mod $p$)

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The circle method and non-lacunarity of meromorphic modular forms

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A Study of the Local Components of the Hecke Algebra mod l

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Q3215315

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Q4173440

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Congruences like Ramanujan's for powers of the partition function

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Recurrence Formulae for the Coefficients of Modular Forms and Congruences for the Partition Function and for the Coefficients of $j(\tau)$, $(j(\tau) - 1728)^{\frac{1}{2}}$ and $(j(\tau))^{\frac{1}{3}}$.

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Q4695272

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Note on the Parity of the Partition Functions.

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Extension of Ramanujan's congruences for the partition function modulo powers of 5

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Q4693061

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Congruences for the Coefficients of Modular forms and Some New Congruences for the Partition Function

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Periodicity Modulo m and Divisibility Properties of the Partition Function

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Distribution of the partition function modulo $m$

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

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Q4402037

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Divisibilite de certaines fonctions arithmétiques

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Q4875376

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Q5685160

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CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS

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Q4149531

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Q3590677

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Identifiers

zbMATH Open document ID

1404.11049

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Mathematics Subject Classification ID

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10.1016/J.AIM.2016.02.032

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Sitelinks

Mathematics(1 entry)

mardi Publication:266133