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Creators/Authors contains: "Lüdtke, Martin"

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  1. (, Research in Number Theory)
    Abstract The Chabauty–Kim method and its refined variant by Betts and Dogra aim to cut out theS-integral points$$X(\mathbb {Z}_S)$$ X ( Z S ) on a curve inside thep-adic points$$X(\mathbb {Z}_p)$$ X ( Z p ) by producing enough Coleman functions vanishing on them. We derive new functions in the case of the thrice-punctured line whenScontains two primes. We describe an algorithm for computing refined Chabauty–Kim loci and verify Kim’s Conjecture over$$\mathbb {Z}[1/6]$$ Z [ 1 / 6 ] for all choices of auxiliary prime $$p < 10{,}000$$ p < 10 , 000 . 
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    Free, publicly-accessible full text available March 1, 2026