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Mock modular form

In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac…

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Overview

History

Definition

Appell–Lerch sums

Indefinite theta series

Applications

Examples

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Mock modular form

Nodes57
Edges56
Triples29
Avg. degree1.96
Density0.035088
Components1

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Mock modular form

Top relations

has application · 10
Mock modular form → Atish Dabholkar, Don Zagier, Lie, Mock, Ruth Lawrence, Sameer Murthy, Semikhatov, Taormina, Troost, Yu Tipunin
related to Appell–Lerch sums · 8
Mock modular form → Appell, Lambert, Lerch, Mathias Lerch, Paul, The Appell, Watson, Zwegers
related to Examples · 7
Mock modular form → Any, Don Zagier, Eisenstein, Fourier, Hurwitz, Maass, The
related to Definition · 3
Mock modular form → Fix, Maass, SL2
is a · 1
Mock modular form → holomorphic part of a harmonic weak Maass form

Important terminology Word statistics

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Important terminology

mock theta functions modular forms weight function form maass weak holomorphic ramanujan order zwegers harmonic found cusps series group lerch

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mock modular formis aholomorphic part of a harmonic weak Maass form0.90text
Mock modular formhas applicationRuth Lawrence0.60section
Mock modular formhas applicationDon Zagier0.60section
Mock modular formhas applicationSemikhatov0.60section
Mock modular formhas applicationTaormina0.60section
Mock modular formhas applicationYu Tipunin0.60section
Mock modular formhas applicationLie0.60section
Mock modular formhas applicationTroost0.60section
Mock modular formhas applicationMock0.60section
Mock modular formhas applicationAtish Dabholkar0.60section
Mock modular formhas applicationSameer Murthy0.60section
Mock modular formrelated to Appell–Lerch sumsAppell0.60section

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