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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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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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.