Definition of Eigenforms. Meaning of Eigenforms. Synonyms of Eigenforms

Here you will find one or more explanations in English for the word Eigenforms. Also in the bottom left of the page several parts of wikipedia pages related to the word Eigenforms and, of course, Eigenforms synonyms and on the right images related to the word Eigenforms.

Definition of Eigenforms

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Meaning of Eigenforms from wikipedia

- combinatorics, and physics. A common example of an eigenform, and the only non-cuspidal eigenforms, are the Eisenstein series. Another example is the...
- 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...
- Foerster 2003, p. 301. Foerster 2003, p. 289. Kauffman, L. H. (2003). "Eigenforms: Objects as tokens for eigenbehaviors." Cybernetics and Human Knowing...
- 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...
- {\displaystyle \mathrm {SL} _{2}(\mathbb {R} )} as modular forms. They are eigenforms of the hyperbolic Laplace operator Δ {\displaystyle \Delta } defined on...
- 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...
- obvious is that given a modular form of a certain special type, a Hecke eigenform with eigenvalues in Q {\displaystyle \mathbb {Q} } , one also gets a homomorphism...
- R. Holowinsky and K. Soundararajan, "M**** equidistribution for Hecke eigenforms," arXiv:0809.1636v1 K. Soundararajan, "Nonvanishing of quadratic Dirichlet...
- operators, there exists a basis for the space of newforms consisting of eigenforms for the full Hecke algebra. Consider a Hall divisor e of N, which means...