Quantitative distributions of Fourier coefficient relations for twist-inequivalent non-CM newforms yield multiplicity-one refinements and a density criterion for distinguishing newforms.
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Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.
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Determining Newforms via various relations among Fourier Coefficients
Quantitative distributions of Fourier coefficient relations for twist-inequivalent non-CM newforms yield multiplicity-one refinements and a density criterion for distinguishing newforms.
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Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients
Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.