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arxiv: 0908.0582 · v2 · pith:BZ54OSFBnew · submitted 2009-08-05 · 🧮 math.NT

On the recurrence of coefficients in the L\"uck-Fuglede-Kadison determinant

classification 🧮 math.NT
keywords determinantbasecoefficientsnoteuck-fuglede-kadisonauthorcertainconcerning
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In this note, we survey results concerning variations of the L\"uck-Fuglede-Kadison determinant with respect to the base group. Further, we discuss recurrences of coefficients in the determinant for certain distinguished base groups. The note is based on a talk that the second author gave at the "Segundas Jornadas de Teor\'ia de N\'umeros", Madrid, 2007.

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