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Higher depth false modular forms (Q6107854)

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scientific article; zbMATH DE number 7704036

Language	Label	Description	Also known as
English	Higher depth false modular forms	scientific article; zbMATH DE number 7704036

Statements

scholarly article

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Higher depth false modular forms (English)

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Kathrin Bringmann

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Caner Nazaroglu

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Communications in Contemporary Mathematics

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publication date

28 June 2023

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full work available at URL

https://arxiv.org/abs/2109.00394

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zbMATH Keywords

false theta functions

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modular forms

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bimodular forms

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Eichler integrals

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\(W\)-algebras

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homological blocks

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MaRDI profile type

MaRDI publication profile

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Indefinite theta series and generalized error functions

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\(q\)-series and tails of colored Jones polynomials

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Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions

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Integral representations of rank two false theta functions and their modularity properties

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Rank two false theta functions and Jacobi forms of negative definite matrix index

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Higher depth quantum modular forms and plumbed 3-manifolds

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\(W\)-algebras, higher rank false theta functions, and quantum dimensions

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A framework for modular properties of false theta functions

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BPS invariants for Seifert manifolds

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W-algebras for Argyres-Douglas theories

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Higher rank partial and false theta functions and representation theory

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Notes on the K3 Surface and the Mathieu Group<i>M</i><sub>24</sub>

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On some incomplete theta integrals

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Nahm sums, stability and the colored Jones polynomial

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A two-variable series for knot complements

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BPS spectra and 3-manifold invariants

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On the quantum invariants for the spherical Seifert manifolds

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Rogers-Ramanujan type identities for alternating knots

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Theta integrals and generalized error functions

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Dimension of zero weight space: an algebro-geometric approach

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Modular forms and quantum invariants of \(3\)-manifolds

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\(r\)-tuple error functions and indefinite theta series of higher-depth

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Higher rank \(\hat{Z}\) and \(F_K\)

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On the Feigin-Tipunin conjecture

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\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1

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A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1142/S0219199722500432

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Sitelinks

Mathematics(1 entry)

mardi Publication:6107854

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