Mock modular form information

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...

In mathematics, a modular form is a (complex) analytic function on the upper half-plane, H {\displaystyle \,{\mathcal {H}}\,} , that satisfies: a kind...

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...

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...

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...

multiplicities are mock modular forms, and Miranda Cheng suggested that characters of elements of M24 should also be mock modular forms. This suggestion...

S(q){\displaystyle S(q)} is related to a mock modular form. Let E2(z){\displaystyle E_{2}(z)} denote the weight 2 quasi-modular Eisenstein series and let η(z){\displaystyle...

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...

Meromorphic Jacobi forms appear in the theory of Mock modular forms. Eichler, Martin; Zagier, Don (1985), The theory of Jacobi forms, Progress in Mathematics...

functional equations. Harmonic Maass form Mock modular form Real analytic Eisenstein series Automorphic form Modular form Voronoi formula Bringmann, Kathrin;...

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:...

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...

In manufacturing and design, a mockup, or mock-up, is a scale or full-size model of a design or device, used for teaching, demonstration, design evaluation...

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...

Chaudhary, Mock theta functions to mock theta conjectures, SCIENTIA, Series A : Math. Sci., (22)(2012) 33–46. M.P. Chaudhary, On modular relations for...

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...

A meat alternative or meat substitute (also called plant-based meat, mock meat, or fake meat sometimes pejoratively), is a food product made from vegetarian...

asymptotics, and mock theta functions. He also makes major breakthroughs and discoveries in the areas of gamma functions, modular forms, divergent series...

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...

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...

variety of reforms were made to GCSE qualifications, including increasing modularity and a change to the administration of non-examination assessment. From...

divisional lineage. The central part of this plan is that each brigade will be modular, i.e., all brigades of the same type will be exactly the same and thus...