Time：14:00-15:00, Thursday, August 28 2025
Venue: E4-201
Speaker：Bohan Yang, SIMIS
Title: On identities concerning integer parts
Abstract: In 2007, V. Zhuravlev discovered a family of identities concerning integer parts which are satisfied by the number $\frac{\sqrt{5}+1}{2}$. Some of these identities turned out to be characterization properties of the number $\frac{\sqrt{5}+1}{2}$. In this paper, a new proof is given by the equidistribution theorem, and these identities are generalized from three perspectives. Our proof is more concise than before, has strong geometric intuition, and we give the characterization for some other kinds of algebraic integers. This is joint work with Zichang Wang and Chengyang Wu.
