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From the Monster to Thompson to O’Nan (Q4965197)

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scientific article; zbMATH DE number 7315964

Language	Label	Description	Also known as
English	From the Monster to Thompson to O’Nan	scientific article; zbMATH DE number 7315964

Statements

scholarly article

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From the Monster to Thompson to O’Nan (English)

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John F. R. Duncan

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Vertex Operator Algebras, Number Theory and Related Topics

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publication date

26 February 2021

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full work available at URL

https://arxiv.org/abs/1909.09684

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zbMATH Keywords

monstrous moonshine

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Thompson group

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elliptic curves

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Notes on elliptic curves. II.

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Vertex algebras, Kac-Moody algebras, and the Monster

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Monstrous moonshine and monstrous Lie superalgebras

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Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957--58

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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

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Heegner divisors, \(L\)-functions and harmonic weak Maass forms

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Traces of CM values of modular functions

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Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products

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Optimal mock Jacobi theta functions

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Umbral moonshine

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Umbral moonshine and the Niemeier lattices

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Weight one Jacobi forms and umbral moonshine

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Modularity of certain potentially Barsotti-Tate Galois representations

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Monstrous Moonshine

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Andrew Wiles' marvellous proof

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On deformation rings and Hecke rings

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Proof of the umbral moonshine conjecture

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Arithmetic groups and the affine E8 Dynkin diagram

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

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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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MONSTROUS MOONSHINE: THE FIRST TWENTY-FIVE YEARS

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The friendly giant

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A proof of the Thompson moonshine conjecture

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Heegner points and derivatives of \(L\)-series. II

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Heegner points and derivatives of \(L\)-series

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Traces of singular moduli and moonshine for the Thompson group

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Zur Theorie der abstrakten elliptischen Funktionenkörper I. Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung.

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Zur Theorie der abstrakten elliptischen Funktionenkörper II. Automorphismen und Meromorphismen. Das Additionstheorem.

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Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.

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Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus

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Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups

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Fourier coefficients and modular forms of half-integral weight

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FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES

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Definite quadratische Formen der Dimension 24 und Diskriminante 1

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Some Evidence for the Existence of a New Simple Group

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Classical and Umbral Moonshine: Connections and $p$-adic Properties

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The Arithmetic of Elliptic Curves

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Multiplicative reduction and the cyclotomic main conjecture for \(\mathrm{GL}_2\)

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms

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A Simple Subgroup of <i>M</i> ? and <i>E</i> <sub>8</sub> (3)

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The arithmetic of elliptic curves

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Ring-theoretic properties of certain Hecke algebras

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A conjugacy theorem for \(E_8\)

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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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Shimura and Shintani correspondences

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Sur les coefficients de Fourier des formes modulaires de poids demi-entier

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Modular elliptic curves and Fermat's Last Theorem

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Identifiers

zbMATH Open document ID

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10.1090/conm/753/15165

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4965197

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