2 papers
math.LO2026
Schmidt's Game and Vitali Sets
James Atchley, Lior Fishman, Stephen Jackson +2
While many types of non-measurable sets are never -winning in the sense of Schmidt's game, we show that this is not the case for certain Vitali sets. Our main theorems sh…
math.NT2025
Diophantine approximation on abelian varieties; a conjecture of M. Waldschmidt
Lior Fishman, David Lambert, Keith Merrill +1
Following the work of Waldschmidt, we investigate problems in Diophantine approximation on abelian varieties. First we show that a conjecture of Waldschmidt for a given simple abel…