form

A function f is said to be an entire modular form of weight k if it satisfies 1.f is analytic in the upper half-plane H, 2.f((a τ + b)/(c τ + d)) = (c τ + d)^k f(τ) whenever [a | b c | d] is a member of the modular group Γ, 3.

cusp form | Dirichlet series | elliptic curve | elliptic function | entire modular form | Fermat's last theorem | Hecke operator | modular function | Schläfli's modular form | Taniyama-Shimura conjecture