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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An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.
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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 multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.