In this work, we show how suitable generalizations of the integer transfinite diameter of some compact sets in ℂ give very good bounds for coefficients of polynomials with small Mahler measure. By ...

(1) MANY attempts are now being made to formulate a system of geometry suitable to the immature minds of schoolboys, which will on one hand develop their reasoning faculties by some kind of logical ...

Transfinite set theory encompasses the rigorous study of infinite hierarchies, particularly those structured by ordinals and cardinals. This field has been instrumental in deepening our comprehension ...

We study the problem of finding nonconstant monic integer polynomials, normalized by their degree, with small supremum on an interval I. The monic integer transfinite ...

Math is an exotic and confusing country. We speak a bizarre language, full of homeomorphisms, differential varieties, transfinite numbers. But we also find epic landscapes, dizzying ideas and even, ...