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Modeling λ‐invariants by p ‐adic random matrices
Author(s) -
Ellenberg Jordan S.,
Jain Sonal,
Venkatesh Akshay
Publication year - 2011
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20375
Subject(s) - mathematics , quadratic equation , invariant (physics) , random field , field (mathematics) , the imaginary , random matrix , pure mathematics , statistics , mathematical physics , geometry , eigenvalues and eigenvectors , psychology , psychotherapist , physics , quantum mechanics
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.