eigenform

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English

Etymology

From eigen- +‎ form.

Noun

eigenform (plural eigenforms)

  1. (mathematics) A modular form which is an eigenvector for all Hecke operators
    • 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):
      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.