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Rademacher Sums and Rademacher Series (Q2948649)

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Language	Label	Description	Also known as
English	Rademacher Sums and Rademacher Series	scientific article

Statements

scholarly article

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Rademacher Sums and Rademacher Series (English)

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zbMATH Open document ID

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10.1007/978-3-662-43831-2_6

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Miranda C. N. Cheng

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John F. R. Duncan

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Contributions in Mathematical and Computational Sciences

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publication date

6 October 2015

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full work available at URL

https://arxiv.org/abs/1210.3066

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Rademacher sums

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mock modular forms

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Zagier duality

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MaRDI profile type

MaRDI publication profile

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Ramanujan's ``lost'' notebook. III: The Rogers-Ramanujan continued fraction

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Monstrous moonshine and monstrous Lie superalgebras

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The \(f(q)\) mock theta function conjecture and partition ranks

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Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series

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Dyson's ranks and Maass forms

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Coefficients of Harmonic Maass Forms

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Zagier duality for harmonic weak Maass forms of integral weight

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\(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)

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On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine

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Umbral moonshine and the Niemeier lattices

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Monstrous Moonshine

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On the discrete groups of Moonshine

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Congruence Subgroups of Groups Commensurable with PSL (2, Z) of Genus 0 and 1

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Localization \& exact holography

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The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, I

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The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II

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A generalization of the Goldfeld-Sarnak estimate on Selberg's Kloosterman zeta-function

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Split states, entropy enigmas, holes and halos

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Rademacher sums, moonshine and gravity

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Superconformal algebras and mock theta functions. II: Rademacher expansion for \(K3\) surface

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

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Duality involving the mock theta function <i>f</i> (<i>q</i> )

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A natural representation of the Fischer-Griess Monster with the modular function <i>J</i> as character

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Mathieu moonshine in the elliptic genus of K3

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Mathieu twining characters for \(K3\)

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Sums of Kloosterman sums

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On weak harmonic Maass-modular grids of even integral weights

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Construction of a class of modular functions and forms. I, II

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Construction of Automorphic Forms on H-Groups and Supplementary Fourier Series

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On Abelian Integrals of the Second Kind and Modular Functions

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On the Fourier coefficients of small positive powers of \(\theta\) (\(\tau\) )

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Easy proofs of Riemann’s functional equation for $\zeta (s)$ and of Lipschitz summation

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The large \(N\) limit of superconformal field theories and supergravity

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\(\text{AdS}_3\) black holes and a stringy exclusion principle

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Quantum gravity partition functions in three dimensions

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A modern fareytail

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Construction of Automorphic Forms and Integrals

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On the Fourier coefficients of certain modular forms of positive dimension

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ZAGIER DUALITY FOR THE EXPONENTS OF BORCHERDS PRODUCTS FOR HILBERT MODULAR FORMS

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Finite Groups and Modular Functions

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Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function

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Sitelinks

Mathematics(1 entry)

mardi Publication:2948649

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