Скачать или смотреть Shaoshi Chen: Rational-Transcendental Dichotomy Theorems on Power Series [...] (NTWS 240)

Title: Rational-Transcendental Dichotomy Theorems on Power Series with Arithmetic Restrictions

Abstract: In 1906, Fatou proved a rational-transcendental dichotomy theorem on power series with integer coefficients. This theorem has been generalized to a broader class of power series whose coefficients satisfy certain arithmetic restrictions. This talk will first recall some rational-transcendental dichotomy theorems in number fields and then present some more recent theorems in the context of power series rings and differential fields, along with related conjectures and open problems. This talk is based on joint work with Jason Bell, Ehsaan Hossain, Khoa Nguyen, and Umberto Zannier.

Link to slides: https://drive.google.com/file/d/1o9us...

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date:
Thursday, February 27, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, February 28, 2025 (12am CST, 3am AEDT, 5am NZDT)