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...
42 KB (7,937 words) - 06:06, 16 April 2025
In mathematics, a modular form is a holomorphic function on the complex upper half-plane, H {\displaystyle {\mathcal {H}}} , that roughly satisfies a functional...
31 KB (4,651 words) - 00:20, 3 March 2025
Umbral moonshine (category Modular forms)
multiplicities are mock modular forms, and Miranda Cheng suggested that characters of elements of M24 should also be mock modular forms. This suggestion...
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Meromorphic Jacobi forms appear in the theory of Mock modular forms. Eichler, Martin; Zagier, Don (1985), The theory of Jacobi forms, Progress in Mathematics...
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class numbers are coefficients of a mock modular form of weight 3/2. Zagier, Don (1975), "Nombres de classes et formes modulaires de poids 3/2", Comptes...
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Monstrous moonshine (section Modular moonshine)
functions and the graded traces of nontrivial elements of M24 form mock modular forms. In 2012, Gannon proved that all but the first of the multiplicities...
34 KB (4,523 words) - 04:28, 12 March 2025
quadratic order is a harmonic Maass forms of weight 1. A mock modular form is the holomorphic part of a harmonic Maass form. Poincaré series built with the...
10 KB (1,464 words) - 03:13, 3 December 2023
mock modular forms introduced by Ramanujan a century ago . In his subsequent work with Pavel Putrov and Edward Witten he showed that mock modularity is...
18 KB (1,679 words) - 08:29, 22 December 2024
functional equations. Harmonic Maass form Mock modular form Real analytic Eisenstein series Automorphic form Modular form Voronoi formula Bringmann, Kathrin;...
37 KB (8,499 words) - 10:50, 2 January 2025
{\displaystyle S(q)} is related to a mock modular form. Let E 2 ( z ) {\displaystyle E_{2}(z)} denote the weight 2 quasi-modular Eisenstein series and let η (...
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is a string theory, in which the string states are counted by the mock modular forms and the finite group captures the model's symmetry. In reference to...
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Mock theta functions, μ ( q ) , f ( q ) , ϕ ( q ) , ψ ( q ) , χ ( q ) {\displaystyle \mu (q),f(q),\phi (q),\psi (q),\chi (q)} , etc., a mock modular form...
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mock modular forms. With Kathrin Bringmann, Ken Ono, and Larry Rolen, Folsom is one of the authors of the book Harmonic Maass Forms and Mock Modular Forms:...
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studies modular forms and variations thereof, such as Maass forms, mock modular forms, (indefinite) theta functions, and (Maass) Jacobi forms. Zwegers...
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with Amanda Folsom, Ken Ono, and Larry Rolen, Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (Amer. Math. Soc., 2018), won the 2018...
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The Modular Rifle - Caseless (MR-C), is a mock-up of an assault rifle that was intended to be manufactured and sold to the United States military as a...
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CAMM (missile family) (redirect from Common anti-aircraft modular missile)
The CAMM (Common Anti-Air Modular Missile) is a family of surface-to-air missiles developed by MBDA UK for the United Kingdom. CAMM is derived from, and...
82 KB (8,088 words) - 00:03, 25 April 2025
Aeralis in the United Kingdom. It is the initial variant of a family of modular aircraft which are reconfigurable to cover a variety of roles, including...
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and cleaner interfaces. The use of the mock object design pattern also contributes to the overall modularization of the code because this pattern requires...
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and modular functions, Bull. Amer. Math. Soc. (N.S.) 42 (2005), 137--162 W. Duke, ¨O. Imamoglu,´A . Toth, Cycle integrals of the j-function and mock modular...
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Mock & Toof are a British electronic music act formed by Duncan Stump and Nick Woolfson. The duo have released two acclaimed albums, Tuning Echoes (2010)...
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subsequently spent many years on Ramanujan's formulae in the area of modular equations, mock theta functions and q-series, and for some time looked after Ramanujan's...
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U-battery is a micro–small modular reactor design of a nuclear reactor. The design for U-Battery was created at Delft University of Technology in the...
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Meat alternative (redirect from Mock meat)
A meat alternative or meat substitute (also called plant-based meat, mock meat, or alternative protein), is a food product made from vegetarian or vegan...
58 KB (6,242 words) - 08:54, 10 May 2025
Chaudhary, Mock theta functions to mock theta conjectures, SCIENTIA, Series A: Math. Sci., (22)(2012) 33–46. M.P. Chaudhary, On modular relations for...
106 KB (11,705 words) - 05:07, 14 May 2025
3D printing (redirect from Free form fabrication)
that covers any removal method is needed. Agile tooling is the use of modular means to design tooling that is produced by additive manufacturing or 3D...
210 KB (21,957 words) - 01:11, 26 April 2025
The Space Exploration Vehicle (SEV) is a modular vehicle concept developed by NASA from 2008 to 2015. It would have consisted of a pressurized cabin that...
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examined by written exams taken at the end of these two years. A more modular approach to examination became common in many subjects starting in the...
66 KB (6,675 words) - 14:43, 10 May 2025
GCSE (section Modular and linear GCSEs)
usually start in Year 9 or Year 10 for the majority of pupils, with around two mock exams – serving as a simulation for the actual tests – normally being sat...
79 KB (8,735 words) - 14:46, 10 May 2025