Modeling λ-invariants by p-adic random matrices

✍ Scribed by Jordan S. Ellenberg; Sonal Jain; Akshay Venkatesh

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 199 KB
• Volume: 64
• Category: Article
• ISSN: 0010-3640
• DOI: 10.1002/cpa.20375

✦ Synopsis

Abstract

How often is the p‐adic λ‐invariant of an imaginary quadratic field equal to m? We model this by the statistics of random p‐adic matrices, and test these predictions numerically. © 2011 Wiley Periodicals, Inc.