eigenform

English

Etymology

From eigen- +‎ form.

Noun

eigenform (plural eigenforms)

1. (mathematics) A modular form which is an eigenvector for all Hecke operators $T_{m},m=1,2,3,...$
   • 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)‎^[1]:

     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.