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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2026 2verdicts
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Two Zilber-Pink-type statements are proved in Y(1)^n assuming a weak Lang-Trotter conjecture for pairs of elliptic curves.
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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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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.