Differential Equations and Prime Numbers - Differential Equations Modulo Powers of Primes

Explore the intersection of differential equations and prime numbers in this 39-minute conference talk from the GADEPs focused meeting. Delve into the mathematical framework of differential equations modulo powers of primes as presented by Hossein Movasati from the Instituto de Matemática Pura e Aplicada (IMPA). Examine how these two fundamental areas of mathematics connect and interact, gaining insights into advanced mathematical concepts that bridge algebraic and analytic number theory. Learn about the theoretical foundations and applications of this specialized mathematical topic through expert analysis and detailed mathematical exposition. Access comprehensive understanding of how differential equations can be studied within the context of prime number theory, providing valuable knowledge for researchers and advanced students in pure mathematics.