Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Learn about the arithmetic properties of power series and their applications to periods in this 80-minute lecture delivered at the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Explore advanced mathematical concepts and their relationships while gaining insights into how power series analysis contributes to our understanding of periods in mathematical theory.