2009/09/24 by William Cherry, William B. Cherry, Cherry, William
Mathematics · #30G06 #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Number Theory (math.NT) #advanced mathematical theories #math.CV #math.NT #msc:30G06
paper · pdf · doi:10.48550/arxiv.0909.4509
Lecture notes from a short course in the Advanced School on p-Adic Analysis and Applications held at the Abdus Salam International Centre for Theoretical Physics, August 31 - September 11, 2009
arxiv created 2009/09/24 · openalex publication_date 2009/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Lecture 1 discusses non-Archimedean analogs of classical complex function theory based on the Schnirelman integral. Lecture 2 discusses valuation (Newton) polygons and their consequences and presents a non-Archimedean analog of the Poisson-Jensen formula. Lecture 3 introduces non-Archimedean value distribution theory. Lecture 4 presents an introduction to Benedetto's non-Archimedean analogs of the Ahlfors Island theorems.