Bounds for the smallest integral point on a conic over a number field
Volume 193 / 2020
Acta Arithmetica 193 (2020), 355-368 MSC: Primary 11D09; Secondary 14G25, 14H25. DOI: 10.4064/aa181116-12-6 Published online: 7 February 2020
We compute an explicit upper bound for the size of the smallest integral point of an irreducible conic defined over a number field of degree $\geq 2$.