Rademacher Expansions for False and Mock Modular Forms

Explore a mathematical seminar presentation that delves into the extension of Rademacher expansion techniques to mock and false modular forms. Learn how holomorphic modular forms are constrained by holomorphy and modular symmetries, building upon the foundational works of Hardy, Ramanujan, and Rademacher. Discover how these mathematical properties impose constraints on Fourier coefficients of holomorphic modular forms, leading to convergent and exact formulae for coefficients at nonpositive weights. Examine the application and extension of these mathematical concepts to mixed mock or false modular forms at various depths, presented by Mr. Caner Nazaroglu from the University of Cologne as part of the Black holes: bridges between number theory and holographic quantum information event series.