学术报告（李江涛 2026.5.26）

摘要：In 1947, Hall proved that every real number can be written as a sum of two real numbers and the continued fraction expansion of the fractional parts of these two real numbers contain no partial quotients greater than four. Firstly we will review some  further developments on this topic.  After that, by using the theory of multiple zeta-star values, we show that every real number which is greater than 4 can be written as a sum and a product of two real numbers (greater than 1) and these two real numbers can be realized as infinite multiple zeta-star values with no indices greater than two. Lastly, we propose some conjectures which deal the algebraic points in some Cantor sets which are constructed from infinite multiple zeta-star values of restricted indices. This is a joint work with Siyu Yang.