Introduction To P-Adic Analysis

Introduction to p-adic analysis. Topics include rings; fields, ideals, congruences, valued fields, non-archimedean valued fields, field of p-adic numbers, field of complex p-adic numbers, ultrametric Banach spaces, p-adic Hibert space, p-adic functions, strictly differentiable functions, Volkenborn Integral, Benoullli numbers, p-adic Gamma function, p-adic Riemann function, and p-adic Zeta function.

Credits

3 credits

Course Code

MA 536