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Pronunciation varies by accent · noun
(mathematics) 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.
Use eigenform when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Eigenform means (mathematics) A modular form which is an eigenvector for all Hecke operators T_m,m=1,2,3,....
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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.
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