Modular forms provide a powerful mathematical framework for understanding symmetry in two-dimensional quantum field theories. In conformal field theory (CFT), these holomorphic functions obey ...

Quantum modular forms have emerged as a versatile framework that bridges classical analytic number theory with quantum topology and mathematical physics. Initially inspired by the pioneering work on ...

“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...

Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL₂(Z) in terms of the values of modular functions at points ...

Abstract Let 𝐾 be a real quadratic field and 𝒪𝐾 its ring of integers. Let Γ be a congruence subgroup of SL₂(𝒪𝐾) and 𝑀(𝑘₁,𝑘₂)(Γ) be the finite dimensional space of Hilbert modular forms of ...