Definition of Eigenform. Meaning of Eigenform. Synonyms of Eigenform

- In mathematics, an eigenform (meaning simultaneous Hecke eigenform with modular group SL(2,Z)) is a modular form which is an eigenvector for all Hecke...
- form f is a simultaneous eigenform of all Hecke operators Tm with eigenvalues λm then am = λma1 and a1 ≠ 0. Hecke eigenforms are normalized so that a1...
- Hecke eigenforms of weight 2. The 1-dimensional factors are elliptic curves (there can also be higher-dimensional factors, so not all Hecke eigenforms correspond...
- to all automorphic zeta functions, such as Mellin transforms of Hecke eigenforms. Artin (1924) introduced global zeta functions of (quadratic) function...
- obvious is that given a modular form of a certain special type, a Hecke eigenform with eigenvalues in Q {\displaystyle \mathbf {Q} } , one also gets a homomorphism...
- suited to the organization mankind discovers in nature." The notion of eigenform is an example of a self-referential system that produces a stable form...
- of the same parity. The Ikeda lift takes a Hecke eigenform of weight 2k for SL2(Z) to a Hecke eigenform in the space of Siegel modular forms of weight k+n...
- the Ruby programming language Eigenbehaviour, with its connection to eigenform and eigenvalue in cybernetics This disambiguation page lists articles...
- Hecke character Hecke congruence subgroup Hecke correspondence Hecke eigenform Hecke group Hecke L-function (disambiguation) Hecke operator Hecke ring...
- of complex conjugation has determinant -1. To any normalized modular eigenform f = q + a 2 q 2 + a 3 q 3 + ⋯ {\displaystyle f=q+a_{2}q^{2}+a_{3}q^{3}+\cdots...