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eigenform

eigenform noun: a modular form which is an eigenvector for all Hecke operators T_m,m=1,2,3,...

Noun

eigenform (plural eigenforms)

  1. A modular form which is an eigenvector for all Hecke operators T_m,m=1,2,3,...
    • We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.2015, Yuk-Kam Lau, Emmanuel Royer, Jie Wu, “Sign of Fourier coefficients of modular forms of half integral weight”, in (Please provide the book title or journal name)

Forms of eigenform

pluraleigenforms

Origin of eigenform

From eigen- + form.

Questions about eigenform

What does eigenform mean?
Eigenform means a modular form which is an eigenvector for all Hecke operators T_m,m=1,2,3,...
What part of speech is eigenform?
Eigenform is a noun.
What is the plural of eigenform?
The plural of eigenform is eigenforms.

Words near eigenform in the dictionary

  1. eigenfields
  2. eigenfinger
  3. eigenfingers
  4. eigenflux
  5. eigenfluxes
  6. eigenform
  7. eigenforms
  8. eigenfrequencies
  9. eigenfrequency
  10. eigenfunction
  11. eigenfunctional

Source and license

Adapted from Wiktionary: eigenform (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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