2002/06/01 by David W. Boyd, Fernando Rodriguez-Villegas · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Meromorphic and Entire Functions #Mathematics #Quartic function #Measure (data warehouse) #Dedekind cut #Cyclotomic field #Quadratic equation #Pure mathematics #Value (mathematics) #Combinatorics #Discrete mathematics #Geometry #Statistics
paper · pdf · doi:10.4153/cjm-2002-016-9
openalex publication_date 2002/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Abstract An explicit formula is derived for the logarithmicMahler measure m ( P ) of P ( x , y ) = p ( x ) y − q ( x ), where p ( x ) and q ( x ) are cyclotomic. This is used to find many examples of such polynomials for which m ( P ) is rationally related to the Dedekind zeta value ζ F (2) for certain quadratic and quartic fields.