Eigenform

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 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."

Example

More examples

"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."

Etymology

From eigen- + form.

Related phrases

hecke operatormodular form

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.