Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.
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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.
Two Zilber-Pink-type statements are proved in Y(1)^n assuming a weak Lang-Trotter conjecture for pairs of elliptic curves.
citing papers explorer
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Lang-Trotter phenomena and unlikely intersections
Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.
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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.
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A note on Zilber-Pink in $Y(1)^n$
Two Zilber-Pink-type statements are proved in Y(1)^n assuming a weak Lang-Trotter conjecture for pairs of elliptic curves.