Category

Modular forms

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analytic function on the upper half-plane with a certain behavior under the modular group

modularity theorem

theorem in mathematics

Eisenstein series

series representing modular forms

Weierstrass's elliptic functions

class of mathematical functions

Dedekind eta function

orientation-preserving mapping class group of the torus

right|thumb|200px|Klein's -invariant in the complex plane

upper half-plane

complex numbers with positive imaginary part

Ramanujan–Petersson conjecture

giving the Fourier coefficients of the Ramanujan modular form

algebraic curve constructed as a quotient of the complex upper half-plane by the action of a congruence subgroup of the modular group of integral 2×2 matrices

Ribet's theorem

Result concerning properties of Galois representations associated with modular forms

Rogers–Ramanujan identities

Mathematical identities related to basic hypergeometric series

mock modular form

complex-differentiable part of a Maass wave function

Picard–Fuchs equation

mathematical equation

lemniscatic elliptic function

mathematic function

Modular lambda function

a highly symmetric holomorphic function on the complex upper half-plane

modular form with a zero constant coefficient in the Fourier series expansion

Schwarzian derivative

nonlinear differential operator used to study conformal mappings

Siegel modular form

major type of automorphic form in mathemetics

Rogers–Ramanujan continued fraction

Continued fraction closely related to the Rogers–Ramanujan identities

linear operator acting on modular forms

sums of products in mathematics

class of complex vector function

Serre's modularity conjecture