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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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.NT 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Partial results on low-lying zero densities imply explicit conditional lower bounds on central L-values, with bound quality tied to family symmetry type and allowed Fourier support.
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.
citing papers explorer
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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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A connection between low-lying zeros and central values of $L$-functions
Partial results on low-lying zero densities imply explicit conditional lower bounds on central L-values, with bound quality tied to family symmetry type and allowed Fourier support.
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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.