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Modeling λ‐invariants by p‐adic random matrices
Authors:Jordan S Ellenberg  Sonal Jain  Akshay Venkatesh
Institution:1. University of Wisconsin, Department of Mathematics, 323 Van Vleck Hall, 480 Lincoln Drive, Madison, WI 53706;2. Courant Institute, 251 Mercer Street, New York, NY 10012;3. Stanford University, Department of Mathematics, Building 380, Stanford, CA, 94305
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.
Keywords:
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