eigenform

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noun

A modular form which is an eigenvector for all Hecke operators T_m,m=1,2,3,...

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Meanings

nouneigenform (plural eigenforms)

plural eigenforms

  1. mathematicsA 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)

Origin

From eigen- + form.

Full word history & related roots →
Cite this entry
APA

eigenform. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/eigenform

MLA

“eigenform.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/eigenform. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “eigenform,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/eigenform.

Source: eigenform on Wiktionary, CC BY-SA 4.0.