Advanced Number Theory
Read this topicSubtopics
- What Are Algebraic and Analytic Number Theory?
- Rational or Diophantine Approximation
- p-Adic Concepts and Techniques
- Diophantine Analysis
- Euler–Maclaurin Summation Formula
- Poisson Summation Formula and Applications
- Circle Method and Exponential Sums
- Etale Arithmetic Geometry
- Method of Families in Number Theory
- Applications of Modular Forms
- L-Functions, Mellin Transforms, and Applications
- Delta Method for Diophantine Analysis
- Weil Conjectures, Modularity, and Grand Riemann Hypothesis (GRH)
- Generalized Ramanujan–Petersson Conjecture (GRC)
- Intro to Algebraic Number Theory
- Class Field Theory and the Langlands Program
- Strong Approximation and Algebraic Groups